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Finding the Fourth Proportional to 332.19, 458.65 and 207.88

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Solution

The fourth proportional to 332.19, 458.65 and 207.88 is: 287.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.19 : 458.65 = 207.88 : x
  2. Step 2: Convert to fraction form
    332.19/458.65 = 207.88/x
  3. Step 3: Cross multiply
    332.19x = 458.65 × 207.88
  4. Step 4: Simplify right side
    332.19x = 95,344.16
  5. Step 5: Solve for x
    x = 95,344.16/332.19
  6. Step 6: Final answer
    x = 287.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.