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Finding the Fourth Proportional to 631.81, 946.63 and 502.21

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Solution

The fourth proportional to 631.81, 946.63 and 502.21 is: 752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.81 : 946.63 = 502.21 : x
  2. Step 2: Convert to fraction form
    631.81/946.63 = 502.21/x
  3. Step 3: Cross multiply
    631.81x = 946.63 × 502.21
  4. Step 4: Simplify right side
    631.81x = 475,407.05
  5. Step 5: Solve for x
    x = 475,407.05/631.81
  6. Step 6: Final answer
    x = 752.45

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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.