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Finding the Fourth Proportional to 457.50, 631.17 and 291.68

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Solution

The fourth proportional to 457.50, 631.17 and 291.68 is: 402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.50 : 631.17 = 291.68 : x
  2. Step 2: Convert to fraction form
    457.50/631.17 = 291.68/x
  3. Step 3: Cross multiply
    457.50x = 631.17 × 291.68
  4. Step 4: Simplify right side
    457.50x = 184,099.67
  5. Step 5: Solve for x
    x = 184,099.67/457.50
  6. Step 6: Final answer
    x = 402.40

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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.