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Finding the Fourth Proportional to 677.80, 935.44 and 467.91

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Solution

The fourth proportional to 677.80, 935.44 and 467.91 is: 645.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.80 : 935.44 = 467.91 : x
  2. Step 2: Convert to fraction form
    677.80/935.44 = 467.91/x
  3. Step 3: Cross multiply
    677.80x = 935.44 × 467.91
  4. Step 4: Simplify right side
    677.80x = 437,701.73
  5. Step 5: Solve for x
    x = 437,701.73/677.80
  6. Step 6: Final answer
    x = 645.77

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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.