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Finding the Fourth Proportional to 398.53, 597.04 and 311.46

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Solution

The fourth proportional to 398.53, 597.04 and 311.46 is: 466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.53 : 597.04 = 311.46 : x
  2. Step 2: Convert to fraction form
    398.53/597.04 = 311.46/x
  3. Step 3: Cross multiply
    398.53x = 597.04 × 311.46
  4. Step 4: Simplify right side
    398.53x = 185,951.06
  5. Step 5: Solve for x
    x = 185,951.06/398.53
  6. Step 6: Final answer
    x = 466.59

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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.