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Finding the Fourth Proportional to 403.38, 560.57 and 398.22

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Solution

The fourth proportional to 403.38, 560.57 and 398.22 is: 553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.38 : 560.57 = 398.22 : x
  2. Step 2: Convert to fraction form
    403.38/560.57 = 398.22/x
  3. Step 3: Cross multiply
    403.38x = 560.57 × 398.22
  4. Step 4: Simplify right side
    403.38x = 223,228.33
  5. Step 5: Solve for x
    x = 223,228.33/403.38
  6. Step 6: Final answer
    x = 553.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.