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Finding the Fourth Proportional to 398.34, 596.73 and 260.97

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Solution

The fourth proportional to 398.34, 596.73 and 260.97 is: 390.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.34 : 596.73 = 260.97 : x
  2. Step 2: Convert to fraction form
    398.34/596.73 = 260.97/x
  3. Step 3: Cross multiply
    398.34x = 596.73 × 260.97
  4. Step 4: Simplify right side
    398.34x = 155,727.11
  5. Step 5: Solve for x
    x = 155,727.11/398.34
  6. Step 6: Final answer
    x = 390.94

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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.