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Finding the Fourth Proportional to 355.92, 532.71 and 343.77

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Solution

The fourth proportional to 355.92, 532.71 and 343.77 is: 514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.92 : 532.71 = 343.77 : x
  2. Step 2: Convert to fraction form
    355.92/532.71 = 343.77/x
  3. Step 3: Cross multiply
    355.92x = 532.71 × 343.77
  4. Step 4: Simplify right side
    355.92x = 183,129.72
  5. Step 5: Solve for x
    x = 183,129.72/355.92
  6. Step 6: Final answer
    x = 514.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.