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Finding the Fourth Proportional to 398.65, 597.03 and 261.36

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Solution

The fourth proportional to 398.65, 597.03 and 261.36 is: 391.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.65 : 597.03 = 261.36 : x
  2. Step 2: Convert to fraction form
    398.65/597.03 = 261.36/x
  3. Step 3: Cross multiply
    398.65x = 597.03 × 261.36
  4. Step 4: Simplify right side
    398.65x = 156,039.76
  5. Step 5: Solve for x
    x = 156,039.76/398.65
  6. Step 6: Final answer
    x = 391.42

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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.