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Finding the Fourth Proportional to 699.32, 966.24 and 490.28

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Solution

The fourth proportional to 699.32, 966.24 and 490.28 is: 677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.32 : 966.24 = 490.28 : x
  2. Step 2: Convert to fraction form
    699.32/966.24 = 490.28/x
  3. Step 3: Cross multiply
    699.32x = 966.24 × 490.28
  4. Step 4: Simplify right side
    699.32x = 473,728.15
  5. Step 5: Solve for x
    x = 473,728.15/699.32
  6. Step 6: Final answer
    x = 677.41

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.