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Finding the Fourth Proportional to 415.35, 572.80 and 332.46

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Solution

The fourth proportional to 415.35, 572.80 and 332.46 is: 458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.35 : 572.80 = 332.46 : x
  2. Step 2: Convert to fraction form
    415.35/572.80 = 332.46/x
  3. Step 3: Cross multiply
    415.35x = 572.80 × 332.46
  4. Step 4: Simplify right side
    415.35x = 190,433.09
  5. Step 5: Solve for x
    x = 190,433.09/415.35
  6. Step 6: Final answer
    x = 458.49

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Why These Related Problems?

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