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Finding the Fourth Proportional to 632.28, 949.14 and 596.28

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Solution

The fourth proportional to 632.28, 949.14 and 596.28 is: 895.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.28 : 949.14 = 596.28 : x
  2. Step 2: Convert to fraction form
    632.28/949.14 = 596.28/x
  3. Step 3: Cross multiply
    632.28x = 949.14 × 596.28
  4. Step 4: Simplify right side
    632.28x = 565,953.20
  5. Step 5: Solve for x
    x = 565,953.20/632.28
  6. Step 6: Final answer
    x = 895.10

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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.