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Finding the Fourth Proportional to 677.95, 935.58 and 398.19

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Solution

The fourth proportional to 677.95, 935.58 and 398.19 is: 549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.95 : 935.58 = 398.19 : x
  2. Step 2: Convert to fraction form
    677.95/935.58 = 398.19/x
  3. Step 3: Cross multiply
    677.95x = 935.58 × 398.19
  4. Step 4: Simplify right side
    677.95x = 372,537.61
  5. Step 5: Solve for x
    x = 372,537.61/677.95
  6. Step 6: Final answer
    x = 549.50

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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.