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Finding the Fourth Proportional to 532.42, 732.16 and 426.18

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Solution

The fourth proportional to 532.42, 732.16 and 426.18 is: 586.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.42 : 732.16 = 426.18 : x
  2. Step 2: Convert to fraction form
    532.42/732.16 = 426.18/x
  3. Step 3: Cross multiply
    532.42x = 732.16 × 426.18
  4. Step 4: Simplify right side
    532.42x = 312,031.95
  5. Step 5: Solve for x
    x = 312,031.95/532.42
  6. Step 6: Final answer
    x = 586.06

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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.