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Finding the Fourth Proportional to 540.81, 746.62 and 354.47

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Solution

The fourth proportional to 540.81, 746.62 and 354.47 is: 489.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.81 : 746.62 = 354.47 : x
  2. Step 2: Convert to fraction form
    540.81/746.62 = 354.47/x
  3. Step 3: Cross multiply
    540.81x = 746.62 × 354.47
  4. Step 4: Simplify right side
    540.81x = 264,649.77
  5. Step 5: Solve for x
    x = 264,649.77/540.81
  6. Step 6: Final answer
    x = 489.36

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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.