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Finding the Fourth Proportional to 632.58, 947.16 and 540.06

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Solution

The fourth proportional to 632.58, 947.16 and 540.06 is: 808.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.58 : 947.16 = 540.06 : x
  2. Step 2: Convert to fraction form
    632.58/947.16 = 540.06/x
  3. Step 3: Cross multiply
    632.58x = 947.16 × 540.06
  4. Step 4: Simplify right side
    632.58x = 511,523.23
  5. Step 5: Solve for x
    x = 511,523.23/632.58
  6. Step 6: Final answer
    x = 808.63

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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.