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Finding the Fourth Proportional to 677.69, 935.08 and 378.91

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Solution

The fourth proportional to 677.69, 935.08 and 378.91 is: 522.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.69 : 935.08 = 378.91 : x
  2. Step 2: Convert to fraction form
    677.69/935.08 = 378.91/x
  3. Step 3: Cross multiply
    677.69x = 935.08 × 378.91
  4. Step 4: Simplify right side
    677.69x = 354,311.16
  5. Step 5: Solve for x
    x = 354,311.16/677.69
  6. Step 6: Final answer
    x = 522.82

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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.