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Finding the Fourth Proportional to 415.95, 577.13 and 412.43

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Solution

The fourth proportional to 415.95, 577.13 and 412.43 is: 572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.95 : 577.13 = 412.43 : x
  2. Step 2: Convert to fraction form
    415.95/577.13 = 412.43/x
  3. Step 3: Cross multiply
    415.95x = 577.13 × 412.43
  4. Step 4: Simplify right side
    415.95x = 238,020.78
  5. Step 5: Solve for x
    x = 238,020.78/415.95
  6. Step 6: Final answer
    x = 572.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.