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Finding the Fourth Proportional to 632.16, 942.17 and 627.12

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Solution

The fourth proportional to 632.16, 942.17 and 627.12 is: 934.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.16 : 942.17 = 627.12 : x
  2. Step 2: Convert to fraction form
    632.16/942.17 = 627.12/x
  3. Step 3: Cross multiply
    632.16x = 942.17 × 627.12
  4. Step 4: Simplify right side
    632.16x = 590,850.51
  5. Step 5: Solve for x
    x = 590,850.51/632.16
  6. Step 6: Final answer
    x = 934.65

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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.