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Finding the Fourth Proportional to 531.24, 732.06 and 457.26

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Solution

The fourth proportional to 531.24, 732.06 and 457.26 is: 630.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.24 : 732.06 = 457.26 : x
  2. Step 2: Convert to fraction form
    531.24/732.06 = 457.26/x
  3. Step 3: Cross multiply
    531.24x = 732.06 × 457.26
  4. Step 4: Simplify right side
    531.24x = 334,741.76
  5. Step 5: Solve for x
    x = 334,741.76/531.24
  6. Step 6: Final answer
    x = 630.11

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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.