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Finding the Fourth Proportional to 415.21, 572.95 and 257.82

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Solution

The fourth proportional to 415.21, 572.95 and 257.82 is: 355.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.21 : 572.95 = 257.82 : x
  2. Step 2: Convert to fraction form
    415.21/572.95 = 257.82/x
  3. Step 3: Cross multiply
    415.21x = 572.95 × 257.82
  4. Step 4: Simplify right side
    415.21x = 147,717.92
  5. Step 5: Solve for x
    x = 147,717.92/415.21
  6. Step 6: Final answer
    x = 355.77

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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.