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Finding the Fourth Proportional to 642.74, 886.55 and 446.11

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Solution

The fourth proportional to 642.74, 886.55 and 446.11 is: 615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.74 : 886.55 = 446.11 : x
  2. Step 2: Convert to fraction form
    642.74/886.55 = 446.11/x
  3. Step 3: Cross multiply
    642.74x = 886.55 × 446.11
  4. Step 4: Simplify right side
    642.74x = 395,494.37
  5. Step 5: Solve for x
    x = 395,494.37/642.74
  6. Step 6: Final answer
    x = 615.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.