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Finding the Fourth Proportional to 677.66, 935.12 and 397.86

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Solution

The fourth proportional to 677.66, 935.12 and 397.86 is: 549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.66 : 935.12 = 397.86 : x
  2. Step 2: Convert to fraction form
    677.66/935.12 = 397.86/x
  3. Step 3: Cross multiply
    677.66x = 935.12 × 397.86
  4. Step 4: Simplify right side
    677.66x = 372,044.85
  5. Step 5: Solve for x
    x = 372,044.85/677.66
  6. Step 6: Final answer
    x = 549.02

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