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Finding the Fourth Proportional to 524.14, 723.13 and 349.59

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Solution

The fourth proportional to 524.14, 723.13 and 349.59 is: 482.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.14 : 723.13 = 349.59 : x
  2. Step 2: Convert to fraction form
    524.14/723.13 = 349.59/x
  3. Step 3: Cross multiply
    524.14x = 723.13 × 349.59
  4. Step 4: Simplify right side
    524.14x = 252,799.02
  5. Step 5: Solve for x
    x = 252,799.02/524.14
  6. Step 6: Final answer
    x = 482.31

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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.