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Finding the Fourth Proportional to 387.26, 580.97 and 348.53

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Solution

The fourth proportional to 387.26, 580.97 and 348.53 is: 522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.26 : 580.97 = 348.53 : x
  2. Step 2: Convert to fraction form
    387.26/580.97 = 348.53/x
  3. Step 3: Cross multiply
    387.26x = 580.97 × 348.53
  4. Step 4: Simplify right side
    387.26x = 202,486.06
  5. Step 5: Solve for x
    x = 202,486.06/387.26
  6. Step 6: Final answer
    x = 522.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.