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Finding the Fourth Proportional to 415.24, 572.34 and 332.08

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Solution

The fourth proportional to 415.24, 572.34 and 332.08 is: 457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.24 : 572.34 = 332.08 : x
  2. Step 2: Convert to fraction form
    415.24/572.34 = 332.08/x
  3. Step 3: Cross multiply
    415.24x = 572.34 × 332.08
  4. Step 4: Simplify right side
    415.24x = 190,062.67
  5. Step 5: Solve for x
    x = 190,062.67/415.24
  6. Step 6: Final answer
    x = 457.72

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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.