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Finding the Fourth Proportional to 632.64, 949.14 and 459.48

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Solution

The fourth proportional to 632.64, 949.14 and 459.48 is: 689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.64 : 949.14 = 459.48 : x
  2. Step 2: Convert to fraction form
    632.64/949.14 = 459.48/x
  3. Step 3: Cross multiply
    632.64x = 949.14 × 459.48
  4. Step 4: Simplify right side
    632.64x = 436,110.85
  5. Step 5: Solve for x
    x = 436,110.85/632.64
  6. Step 6: Final answer
    x = 689.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.