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Finding the Fourth Proportional to 632.76, 944.57 and 546.65

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Solution

The fourth proportional to 632.76, 944.57 and 546.65 is: 816.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.76 : 944.57 = 546.65 : x
  2. Step 2: Convert to fraction form
    632.76/944.57 = 546.65/x
  3. Step 3: Cross multiply
    632.76x = 944.57 × 546.65
  4. Step 4: Simplify right side
    632.76x = 516,350.50
  5. Step 5: Solve for x
    x = 516,350.50/632.76
  6. Step 6: Final answer
    x = 816.02

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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.