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Finding the Fourth Proportional to 537.60, 805.32 and 392.88

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Solution

The fourth proportional to 537.60, 805.32 and 392.88 is: 588.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.60 : 805.32 = 392.88 : x
  2. Step 2: Convert to fraction form
    537.60/805.32 = 392.88/x
  3. Step 3: Cross multiply
    537.60x = 805.32 × 392.88
  4. Step 4: Simplify right side
    537.60x = 316,394.12
  5. Step 5: Solve for x
    x = 316,394.12/537.60
  6. Step 6: Final answer
    x = 588.53

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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.