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Finding the Fourth Proportional to 403.38, 605.88 and 393.66

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Solution

The fourth proportional to 403.38, 605.88 and 393.66 is: 591.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.38 : 605.88 = 393.66 : x
  2. Step 2: Convert to fraction form
    403.38/605.88 = 393.66/x
  3. Step 3: Cross multiply
    403.38x = 605.88 × 393.66
  4. Step 4: Simplify right side
    403.38x = 238,510.72
  5. Step 5: Solve for x
    x = 238,510.72/403.38
  6. Step 6: Final answer
    x = 591.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.