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Finding the Fourth Proportional to 888.16, 1,331.84 and 401.60

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Solution

The fourth proportional to 888.16, 1,331.84 and 401.60 is: 602.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.16 : 1,331.84 = 401.60 : x
  2. Step 2: Convert to fraction form
    888.16/1,331.84 = 401.60/x
  3. Step 3: Cross multiply
    888.16x = 1,331.84 × 401.60
  4. Step 4: Simplify right side
    888.16x = 534,866.94
  5. Step 5: Solve for x
    x = 534,866.94/888.16
  6. Step 6: Final answer
    x = 602.22

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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.