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Finding the Fourth Proportional to 398, 597.24 and 301.68

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Solution

The fourth proportional to 398, 597.24 and 301.68 is: 452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398 : 597.24 = 301.68 : x
  2. Step 2: Convert to fraction form
    398/597.24 = 301.68/x
  3. Step 3: Cross multiply
    398x = 597.24 × 301.68
  4. Step 4: Simplify right side
    398x = 180,175.36
  5. Step 5: Solve for x
    x = 180,175.36/398
  6. Step 6: Final answer
    x = 452.70

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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.