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Finding the Fourth Proportional to 821.50, 1,232.24 and 334.24

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Solution

The fourth proportional to 821.50, 1,232.24 and 334.24 is: 501.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.50 : 1,232.24 = 334.24 : x
  2. Step 2: Convert to fraction form
    821.50/1,232.24 = 334.24/x
  3. Step 3: Cross multiply
    821.50x = 1,232.24 × 334.24
  4. Step 4: Simplify right side
    821.50x = 411,859.15
  5. Step 5: Solve for x
    x = 411,859.15/821.50
  6. Step 6: Final answer
    x = 501.35

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.