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Finding the Fourth Proportional to 415.06, 571.71 and 394.20

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Solution

The fourth proportional to 415.06, 571.71 and 394.20 is: 542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.06 : 571.71 = 394.20 : x
  2. Step 2: Convert to fraction form
    415.06/571.71 = 394.20/x
  3. Step 3: Cross multiply
    415.06x = 571.71 × 394.20
  4. Step 4: Simplify right side
    415.06x = 225,367.34
  5. Step 5: Solve for x
    x = 225,367.34/415.06
  6. Step 6: Final answer
    x = 542.98

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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.