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Finding the Fourth Proportional to 632.92, 948.63 and 478.33

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Solution

The fourth proportional to 632.92, 948.63 and 478.33 is: 716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.92 : 948.63 = 478.33 : x
  2. Step 2: Convert to fraction form
    632.92/948.63 = 478.33/x
  3. Step 3: Cross multiply
    632.92x = 948.63 × 478.33
  4. Step 4: Simplify right side
    632.92x = 453,758.19
  5. Step 5: Solve for x
    x = 453,758.19/632.92
  6. Step 6: Final answer
    x = 716.93

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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.