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Finding the Fourth Proportional to 524.78, 724.14 and 314.95

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Solution

The fourth proportional to 524.78, 724.14 and 314.95 is: 434.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.78 : 724.14 = 314.95 : x
  2. Step 2: Convert to fraction form
    524.78/724.14 = 314.95/x
  3. Step 3: Cross multiply
    524.78x = 724.14 × 314.95
  4. Step 4: Simplify right side
    524.78x = 228,067.89
  5. Step 5: Solve for x
    x = 228,067.89/524.78
  6. Step 6: Final answer
    x = 434.60

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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.