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Finding the Fourth Proportional to 398.40, 597.24 and 295.80

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Solution

The fourth proportional to 398.40, 597.24 and 295.80 is: 443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.40 : 597.24 = 295.80 : x
  2. Step 2: Convert to fraction form
    398.40/597.24 = 295.80/x
  3. Step 3: Cross multiply
    398.40x = 597.24 × 295.80
  4. Step 4: Simplify right side
    398.40x = 176,663.59
  5. Step 5: Solve for x
    x = 176,663.59/398.40
  6. Step 6: Final answer
    x = 443.43

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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.