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Finding the Fourth Proportional to 524.35, 723.49 and 314.47

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Solution

The fourth proportional to 524.35, 723.49 and 314.47 is: 433.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.35 : 723.49 = 314.47 : x
  2. Step 2: Convert to fraction form
    524.35/723.49 = 314.47/x
  3. Step 3: Cross multiply
    524.35x = 723.49 × 314.47
  4. Step 4: Simplify right side
    524.35x = 227,515.90
  5. Step 5: Solve for x
    x = 227,515.90/524.35
  6. Step 6: Final answer
    x = 433.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.