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Finding the Fourth Proportional to 398.28, 597.40 and 288.92

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Solution

The fourth proportional to 398.28, 597.40 and 288.92 is: 433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.28 : 597.40 = 288.92 : x
  2. Step 2: Convert to fraction form
    398.28/597.40 = 288.92/x
  3. Step 3: Cross multiply
    398.28x = 597.40 × 288.92
  4. Step 4: Simplify right side
    398.28x = 172,600.81
  5. Step 5: Solve for x
    x = 172,600.81/398.28
  6. Step 6: Final answer
    x = 433.37

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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.