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Finding the Fourth Proportional to 532.23, 734.47 and 296.17

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Solution

The fourth proportional to 532.23, 734.47 and 296.17 is: 408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.23 : 734.47 = 296.17 : x
  2. Step 2: Convert to fraction form
    532.23/734.47 = 296.17/x
  3. Step 3: Cross multiply
    532.23x = 734.47 × 296.17
  4. Step 4: Simplify right side
    532.23x = 217,527.24
  5. Step 5: Solve for x
    x = 217,527.24/532.23
  6. Step 6: Final answer
    x = 408.71

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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.