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Finding the Fourth Proportional to 398.47, 597.91 and 182.02

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Solution

The fourth proportional to 398.47, 597.91 and 182.02 is: 273.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.47 : 597.91 = 182.02 : x
  2. Step 2: Convert to fraction form
    398.47/597.91 = 182.02/x
  3. Step 3: Cross multiply
    398.47x = 597.91 × 182.02
  4. Step 4: Simplify right side
    398.47x = 108,831.12
  5. Step 5: Solve for x
    x = 108,831.12/398.47
  6. Step 6: Final answer
    x = 273.12

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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.