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Finding the Fourth Proportional to 632.22, 946.51 and 426.08

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Solution

The fourth proportional to 632.22, 946.51 and 426.08 is: 637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.22 : 946.51 = 426.08 : x
  2. Step 2: Convert to fraction form
    632.22/946.51 = 426.08/x
  3. Step 3: Cross multiply
    632.22x = 946.51 × 426.08
  4. Step 4: Simplify right side
    632.22x = 403,283.18
  5. Step 5: Solve for x
    x = 403,283.18/632.22
  6. Step 6: Final answer
    x = 637.88

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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.