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Finding the Fourth Proportional to 524.53, 723.78 and 314.71

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Solution

The fourth proportional to 524.53, 723.78 and 314.71 is: 434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.53 : 723.78 = 314.71 : x
  2. Step 2: Convert to fraction form
    524.53/723.78 = 314.71/x
  3. Step 3: Cross multiply
    524.53x = 723.78 × 314.71
  4. Step 4: Simplify right side
    524.53x = 227,780.80
  5. Step 5: Solve for x
    x = 227,780.80/524.53
  6. Step 6: Final answer
    x = 434.26

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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.