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Finding the Fourth Proportional to 632.36, 946.96 and 514.72

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Solution

The fourth proportional to 632.36, 946.96 and 514.72 is: 770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.36 : 946.96 = 514.72 : x
  2. Step 2: Convert to fraction form
    632.36/946.96 = 514.72/x
  3. Step 3: Cross multiply
    632.36x = 946.96 × 514.72
  4. Step 4: Simplify right side
    632.36x = 487,419.15
  5. Step 5: Solve for x
    x = 487,419.15/632.36
  6. Step 6: Final answer
    x = 770.80

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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.