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Finding the Fourth Proportional to 524.14, 723.26 and 314.30

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Solution

The fourth proportional to 524.14, 723.26 and 314.30 is: 433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.14 : 723.26 = 314.30 : x
  2. Step 2: Convert to fraction form
    524.14/723.26 = 314.30/x
  3. Step 3: Cross multiply
    524.14x = 723.26 × 314.30
  4. Step 4: Simplify right side
    524.14x = 227,320.62
  5. Step 5: Solve for x
    x = 227,320.62/524.14
  6. Step 6: Final answer
    x = 433.70

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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.