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Finding the Fourth Proportional to 435.31, 600.81 and 288.02

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Solution

The fourth proportional to 435.31, 600.81 and 288.02 is: 397.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.31 : 600.81 = 288.02 : x
  2. Step 2: Convert to fraction form
    435.31/600.81 = 288.02/x
  3. Step 3: Cross multiply
    435.31x = 600.81 × 288.02
  4. Step 4: Simplify right side
    435.31x = 173,045.30
  5. Step 5: Solve for x
    x = 173,045.30/435.31
  6. Step 6: Final answer
    x = 397.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.