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Finding the Fourth Proportional to 541.67, 813.33 and 437.87

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Solution

The fourth proportional to 541.67, 813.33 and 437.87 is: 657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.67 : 813.33 = 437.87 : x
  2. Step 2: Convert to fraction form
    541.67/813.33 = 437.87/x
  3. Step 3: Cross multiply
    541.67x = 813.33 × 437.87
  4. Step 4: Simplify right side
    541.67x = 356,134.16
  5. Step 5: Solve for x
    x = 356,134.16/541.67
  6. Step 6: Final answer
    x = 657.48

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Why These Related Problems?

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