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Finding the Fourth Proportional to 540.81, 746.01 and 375.17

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Solution

The fourth proportional to 540.81, 746.01 and 375.17 is: 517.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.81 : 746.01 = 375.17 : x
  2. Step 2: Convert to fraction form
    540.81/746.01 = 375.17/x
  3. Step 3: Cross multiply
    540.81x = 746.01 × 375.17
  4. Step 4: Simplify right side
    540.81x = 279,876.84
  5. Step 5: Solve for x
    x = 279,876.84/540.81
  6. Step 6: Final answer
    x = 517.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.