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Finding the Fourth Proportional to 524.09, 723.33 and 349.71

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Solution

The fourth proportional to 524.09, 723.33 and 349.71 is: 482.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.09 : 723.33 = 349.71 : x
  2. Step 2: Convert to fraction form
    524.09/723.33 = 349.71/x
  3. Step 3: Cross multiply
    524.09x = 723.33 × 349.71
  4. Step 4: Simplify right side
    524.09x = 252,955.73
  5. Step 5: Solve for x
    x = 252,955.73/524.09
  6. Step 6: Final answer
    x = 482.66

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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.