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Finding the Fourth Proportional to 541.87, 812.90 and 387.53

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Solution

The fourth proportional to 541.87, 812.90 and 387.53 is: 581.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.87 : 812.90 = 387.53 : x
  2. Step 2: Convert to fraction form
    541.87/812.90 = 387.53/x
  3. Step 3: Cross multiply
    541.87x = 812.90 × 387.53
  4. Step 4: Simplify right side
    541.87x = 315,023.14
  5. Step 5: Solve for x
    x = 315,023.14/541.87
  6. Step 6: Final answer
    x = 581.36

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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.