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Finding the Fourth Proportional to 540.97, 745.02 and 470.99

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Solution

The fourth proportional to 540.97, 745.02 and 470.99 is: 648.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.97 : 745.02 = 470.99 : x
  2. Step 2: Convert to fraction form
    540.97/745.02 = 470.99/x
  3. Step 3: Cross multiply
    540.97x = 745.02 × 470.99
  4. Step 4: Simplify right side
    540.97x = 350,898.83
  5. Step 5: Solve for x
    x = 350,898.83/540.97
  6. Step 6: Final answer
    x = 648.65

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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.