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Finding the Fourth Proportional to 400.31, 599.19 and 288.93

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Solution

The fourth proportional to 400.31, 599.19 and 288.93 is: 432.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.31 : 599.19 = 288.93 : x
  2. Step 2: Convert to fraction form
    400.31/599.19 = 288.93/x
  3. Step 3: Cross multiply
    400.31x = 599.19 × 288.93
  4. Step 4: Simplify right side
    400.31x = 173,123.97
  5. Step 5: Solve for x
    x = 173,123.97/400.31
  6. Step 6: Final answer
    x = 432.48

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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.