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Finding the Fourth Proportional to 997.63, 1,496.55 and 339.49

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Solution

The fourth proportional to 997.63, 1,496.55 and 339.49 is: 509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.63 : 1,496.55 = 339.49 : x
  2. Step 2: Convert to fraction form
    997.63/1,496.55 = 339.49/x
  3. Step 3: Cross multiply
    997.63x = 1,496.55 × 339.49
  4. Step 4: Simplify right side
    997.63x = 508,063.76
  5. Step 5: Solve for x
    x = 508,063.76/997.63
  6. Step 6: Final answer
    x = 509.27

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Half scale
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Double scale
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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.