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Finding the Fourth Proportional to 532.32, 734.56 and 311.24

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Solution

The fourth proportional to 532.32, 734.56 and 311.24 is: 429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.32 : 734.56 = 311.24 : x
  2. Step 2: Convert to fraction form
    532.32/734.56 = 311.24/x
  3. Step 3: Cross multiply
    532.32x = 734.56 × 311.24
  4. Step 4: Simplify right side
    532.32x = 228,624.45
  5. Step 5: Solve for x
    x = 228,624.45/532.32
  6. Step 6: Final answer
    x = 429.49

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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.