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Finding the Fourth Proportional to 631.98, 946.70 and 502.20

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Solution

The fourth proportional to 631.98, 946.70 and 502.20 is: 752.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.98 : 946.70 = 502.20 : x
  2. Step 2: Convert to fraction form
    631.98/946.70 = 502.20/x
  3. Step 3: Cross multiply
    631.98x = 946.70 × 502.20
  4. Step 4: Simplify right side
    631.98x = 475,432.74
  5. Step 5: Solve for x
    x = 475,432.74/631.98
  6. Step 6: Final answer
    x = 752.29

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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.