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Finding the Fourth Proportional to 540.66, 740.70 and 521.22

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Solution

The fourth proportional to 540.66, 740.70 and 521.22 is: 714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.66 : 740.70 = 521.22 : x
  2. Step 2: Convert to fraction form
    540.66/740.70 = 521.22/x
  3. Step 3: Cross multiply
    540.66x = 740.70 × 521.22
  4. Step 4: Simplify right side
    540.66x = 386,067.65
  5. Step 5: Solve for x
    x = 386,067.65/540.66
  6. Step 6: Final answer
    x = 714.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.