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Finding the Fourth Proportional to 677.54, 935.02 and 397.86

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Solution

The fourth proportional to 677.54, 935.02 and 397.86 is: 549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.54 : 935.02 = 397.86 : x
  2. Step 2: Convert to fraction form
    677.54/935.02 = 397.86/x
  3. Step 3: Cross multiply
    677.54x = 935.02 × 397.86
  4. Step 4: Simplify right side
    677.54x = 372,007.06
  5. Step 5: Solve for x
    x = 372,007.06/677.54
  6. Step 6: Final answer
    x = 549.06

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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.