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Finding the Fourth Proportional to 632.01, 948.25 and 285.24

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Solution

The fourth proportional to 632.01, 948.25 and 285.24 is: 427.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.01 : 948.25 = 285.24 : x
  2. Step 2: Convert to fraction form
    632.01/948.25 = 285.24/x
  3. Step 3: Cross multiply
    632.01x = 948.25 × 285.24
  4. Step 4: Simplify right side
    632.01x = 270,478.83
  5. Step 5: Solve for x
    x = 270,478.83/632.01
  6. Step 6: Final answer
    x = 427.97

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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.