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Finding the Fourth Proportional to 415.47, 572.93 and 291.09

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Solution

The fourth proportional to 415.47, 572.93 and 291.09 is: 401.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.47 : 572.93 = 291.09 : x
  2. Step 2: Convert to fraction form
    415.47/572.93 = 291.09/x
  3. Step 3: Cross multiply
    415.47x = 572.93 × 291.09
  4. Step 4: Simplify right side
    415.47x = 166,772.74
  5. Step 5: Solve for x
    x = 166,772.74/415.47
  6. Step 6: Final answer
    x = 401.41

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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.