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Finding the Fourth Proportional to 532.47, 734.81 and 311.42

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Solution

The fourth proportional to 532.47, 734.81 and 311.42 is: 429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.47 : 734.81 = 311.42 : x
  2. Step 2: Convert to fraction form
    532.47/734.81 = 311.42/x
  3. Step 3: Cross multiply
    532.47x = 734.81 × 311.42
  4. Step 4: Simplify right side
    532.47x = 228,829.30
  5. Step 5: Solve for x
    x = 228,829.30/532.47
  6. Step 6: Final answer
    x = 429.75

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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.