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Finding the Fourth Proportional to 398.04, 597.13 and 178.58

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Solution

The fourth proportional to 398.04, 597.13 and 178.58 is: 267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.04 : 597.13 = 178.58 : x
  2. Step 2: Convert to fraction form
    398.04/597.13 = 178.58/x
  3. Step 3: Cross multiply
    398.04x = 597.13 × 178.58
  4. Step 4: Simplify right side
    398.04x = 106,636.52
  5. Step 5: Solve for x
    x = 106,636.52/398.04
  6. Step 6: Final answer
    x = 267.91

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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.