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Finding the Fourth Proportional to 621.60, 932.64 and 347.68

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Solution

The fourth proportional to 621.60, 932.64 and 347.68 is: 521.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.60 : 932.64 = 347.68 : x
  2. Step 2: Convert to fraction form
    621.60/932.64 = 347.68/x
  3. Step 3: Cross multiply
    621.60x = 932.64 × 347.68
  4. Step 4: Simplify right side
    621.60x = 324,260.28
  5. Step 5: Solve for x
    x = 324,260.28/621.60
  6. Step 6: Final answer
    x = 521.65

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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.