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Finding the Fourth Proportional to 657.86, 986.58 and 267.95

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Solution

The fourth proportional to 657.86, 986.58 and 267.95 is: 401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.86 : 986.58 = 267.95 : x
  2. Step 2: Convert to fraction form
    657.86/986.58 = 267.95/x
  3. Step 3: Cross multiply
    657.86x = 986.58 × 267.95
  4. Step 4: Simplify right side
    657.86x = 264,356.58
  5. Step 5: Solve for x
    x = 264,356.58/657.86
  6. Step 6: Final answer
    x = 401.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.