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Finding the Fourth Proportional to 632.75, 948.65 and 575.42

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Solution

The fourth proportional to 632.75, 948.65 and 575.42 is: 862.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.75 : 948.65 = 575.42 : x
  2. Step 2: Convert to fraction form
    632.75/948.65 = 575.42/x
  3. Step 3: Cross multiply
    632.75x = 948.65 × 575.42
  4. Step 4: Simplify right side
    632.75x = 545,864.56
  5. Step 5: Solve for x
    x = 545,864.56/632.75
  6. Step 6: Final answer
    x = 862.69

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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.