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Finding the Fourth Proportional to 532.45, 734.76 and 296.42

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Solution

The fourth proportional to 532.45, 734.76 and 296.42 is: 409.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.45 : 734.76 = 296.42 : x
  2. Step 2: Convert to fraction form
    532.45/734.76 = 296.42/x
  3. Step 3: Cross multiply
    532.45x = 734.76 × 296.42
  4. Step 4: Simplify right side
    532.45x = 217,793.89
  5. Step 5: Solve for x
    x = 217,793.89/532.45
  6. Step 6: Final answer
    x = 409.04

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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.