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Finding the Fourth Proportional to 524.82, 724.28 and 291.95

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Solution

The fourth proportional to 524.82, 724.28 and 291.95 is: 402.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.82 : 724.28 = 291.95 : x
  2. Step 2: Convert to fraction form
    524.82/724.28 = 291.95/x
  3. Step 3: Cross multiply
    524.82x = 724.28 × 291.95
  4. Step 4: Simplify right side
    524.82x = 211,453.55
  5. Step 5: Solve for x
    x = 211,453.55/524.82
  6. Step 6: Final answer
    x = 402.91

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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.