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Finding the Fourth Proportional to 521.15, 717.26 and 415.89

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Solution

The fourth proportional to 521.15, 717.26 and 415.89 is: 572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.15 : 717.26 = 415.89 : x
  2. Step 2: Convert to fraction form
    521.15/717.26 = 415.89/x
  3. Step 3: Cross multiply
    521.15x = 717.26 × 415.89
  4. Step 4: Simplify right side
    521.15x = 298,299.18
  5. Step 5: Solve for x
    x = 298,299.18/521.15
  6. Step 6: Final answer
    x = 572.39

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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.