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Finding the Fourth Proportional to 677.76, 935.76 and 442.02

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Solution

The fourth proportional to 677.76, 935.76 and 442.02 is: 610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.76 : 935.76 = 442.02 : x
  2. Step 2: Convert to fraction form
    677.76/935.76 = 442.02/x
  3. Step 3: Cross multiply
    677.76x = 935.76 × 442.02
  4. Step 4: Simplify right side
    677.76x = 413,624.64
  5. Step 5: Solve for x
    x = 413,624.64/677.76
  6. Step 6: Final answer
    x = 610.28

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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.