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Finding the Fourth Proportional to 632.16, 944.28 and 488.16

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Solution

The fourth proportional to 632.16, 944.28 and 488.16 is: 729.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.16 : 944.28 = 488.16 : x
  2. Step 2: Convert to fraction form
    632.16/944.28 = 488.16/x
  3. Step 3: Cross multiply
    632.16x = 944.28 × 488.16
  4. Step 4: Simplify right side
    632.16x = 460,959.72
  5. Step 5: Solve for x
    x = 460,959.72/632.16
  6. Step 6: Final answer
    x = 729.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.