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Finding the Fourth Proportional to 532.35, 734.49 and 311.31

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Solution

The fourth proportional to 532.35, 734.49 and 311.31 is: 429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.35 : 734.49 = 311.31 : x
  2. Step 2: Convert to fraction form
    532.35/734.49 = 311.31/x
  3. Step 3: Cross multiply
    532.35x = 734.49 × 311.31
  4. Step 4: Simplify right side
    532.35x = 228,654.08
  5. Step 5: Solve for x
    x = 228,654.08/532.35
  6. Step 6: Final answer
    x = 429.52

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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.