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Finding the Fourth Proportional to 632.12, 946.04 and 521.15

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Solution

The fourth proportional to 632.12, 946.04 and 521.15 is: 779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.12 : 946.04 = 521.15 : x
  2. Step 2: Convert to fraction form
    632.12/946.04 = 521.15/x
  3. Step 3: Cross multiply
    632.12x = 946.04 × 521.15
  4. Step 4: Simplify right side
    632.12x = 493,021.41
  5. Step 5: Solve for x
    x = 493,021.41/632.12
  6. Step 6: Final answer
    x = 779.96

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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.