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Finding the Fourth Proportional to 632.26, 947.26 and 540.02

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Solution

The fourth proportional to 632.26, 947.26 and 540.02 is: 809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.26 : 947.26 = 540.02 : x
  2. Step 2: Convert to fraction form
    632.26/947.26 = 540.02/x
  3. Step 3: Cross multiply
    632.26x = 947.26 × 540.02
  4. Step 4: Simplify right side
    632.26x = 511,539.35
  5. Step 5: Solve for x
    x = 511,539.35/632.26
  6. Step 6: Final answer
    x = 809.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.