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Finding the Fourth Proportional to 532.86, 735.39 and 423.24

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Solution

The fourth proportional to 532.86, 735.39 and 423.24 is: 584.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.86 : 735.39 = 423.24 : x
  2. Step 2: Convert to fraction form
    532.86/735.39 = 423.24/x
  3. Step 3: Cross multiply
    532.86x = 735.39 × 423.24
  4. Step 4: Simplify right side
    532.86x = 311,246.46
  5. Step 5: Solve for x
    x = 311,246.46/532.86
  6. Step 6: Final answer
    x = 584.11

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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.