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Finding the Fourth Proportional to 677.03, 934.25 and 397.23

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Solution

The fourth proportional to 677.03, 934.25 and 397.23 is: 548.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.03 : 934.25 = 397.23 : x
  2. Step 2: Convert to fraction form
    677.03/934.25 = 397.23/x
  3. Step 3: Cross multiply
    677.03x = 934.25 × 397.23
  4. Step 4: Simplify right side
    677.03x = 371,112.13
  5. Step 5: Solve for x
    x = 371,112.13/677.03
  6. Step 6: Final answer
    x = 548.15

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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.