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Finding the Fourth Proportional to 540.65, 745.56 and 408.20

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Solution

The fourth proportional to 540.65, 745.56 and 408.20 is: 562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.65 : 745.56 = 408.20 : x
  2. Step 2: Convert to fraction form
    540.65/745.56 = 408.20/x
  3. Step 3: Cross multiply
    540.65x = 745.56 × 408.20
  4. Step 4: Simplify right side
    540.65x = 304,337.59
  5. Step 5: Solve for x
    x = 304,337.59/540.65
  6. Step 6: Final answer
    x = 562.91

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