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Finding the Fourth Proportional to 532.28, 734.63 and 311.24

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Solution

The fourth proportional to 532.28, 734.63 and 311.24 is: 429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.28 : 734.63 = 311.24 : x
  2. Step 2: Convert to fraction form
    532.28/734.63 = 311.24/x
  3. Step 3: Cross multiply
    532.28x = 734.63 × 311.24
  4. Step 4: Simplify right side
    532.28x = 228,641.01
  5. Step 5: Solve for x
    x = 228,641.01/532.28
  6. Step 6: Final answer
    x = 429.55

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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.