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Finding the Fourth Proportional to 888.32, 1,332.64 and 401.28

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Solution

The fourth proportional to 888.32, 1,332.64 and 401.28 is: 601.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.32 : 1,332.64 = 401.28 : x
  2. Step 2: Convert to fraction form
    888.32/1,332.64 = 401.28/x
  3. Step 3: Cross multiply
    888.32x = 1,332.64 × 401.28
  4. Step 4: Simplify right side
    888.32x = 534,761.78
  5. Step 5: Solve for x
    x = 534,761.78/888.32
  6. Step 6: Final answer
    x = 601.99

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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.