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Finding the Fourth Proportional to 677.76, 935.34 and 398.00

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Solution

The fourth proportional to 677.76, 935.34 and 398.00 is: 549.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.76 : 935.34 = 398.00 : x
  2. Step 2: Convert to fraction form
    677.76/935.34 = 398.00/x
  3. Step 3: Cross multiply
    677.76x = 935.34 × 398.00
  4. Step 4: Simplify right side
    677.76x = 372,266.17
  5. Step 5: Solve for x
    x = 372,266.17/677.76
  6. Step 6: Final answer
    x = 549.26

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Why These Related Problems?

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