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Finding the Fourth Proportional to 398.62, 597.54 and 193.08

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Solution

The fourth proportional to 398.62, 597.54 and 193.08 is: 289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.62 : 597.54 = 193.08 : x
  2. Step 2: Convert to fraction form
    398.62/597.54 = 193.08/x
  3. Step 3: Cross multiply
    398.62x = 597.54 × 193.08
  4. Step 4: Simplify right side
    398.62x = 115,373.02
  5. Step 5: Solve for x
    x = 115,373.02/398.62
  6. Step 6: Final answer
    x = 289.43

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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.