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Finding the Fourth Proportional to 540.61, 746.20 and 354.13

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Solution

The fourth proportional to 540.61, 746.20 and 354.13 is: 488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.61 : 746.20 = 354.13 : x
  2. Step 2: Convert to fraction form
    540.61/746.20 = 354.13/x
  3. Step 3: Cross multiply
    540.61x = 746.20 × 354.13
  4. Step 4: Simplify right side
    540.61x = 264,251.81
  5. Step 5: Solve for x
    x = 264,251.81/540.61
  6. Step 6: Final answer
    x = 488.80

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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.