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Finding the Fourth Proportional to 632.13, 948.51 and 285.71

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Solution

The fourth proportional to 632.13, 948.51 and 285.71 is: 428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.13 : 948.51 = 285.71 : x
  2. Step 2: Convert to fraction form
    632.13/948.51 = 285.71/x
  3. Step 3: Cross multiply
    632.13x = 948.51 × 285.71
  4. Step 4: Simplify right side
    632.13x = 270,992.62
  5. Step 5: Solve for x
    x = 270,992.62/632.13
  6. Step 6: Final answer
    x = 428.70

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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.