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Finding the Fourth Proportional to 632.66, 947.30 and 540.32

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Solution

The fourth proportional to 632.66, 947.30 and 540.32 is: 809.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.66 : 947.30 = 540.32 : x
  2. Step 2: Convert to fraction form
    632.66/947.30 = 540.32/x
  3. Step 3: Cross multiply
    632.66x = 947.30 × 540.32
  4. Step 4: Simplify right side
    632.66x = 511,837.70
  5. Step 5: Solve for x
    x = 511,837.70/632.66
  6. Step 6: Final answer
    x = 809.03

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