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Finding the Fourth Proportional to 462.40, 693.96 and 398.14

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Solution

The fourth proportional to 462.40, 693.96 and 398.14 is: 597.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.40 : 693.96 = 398.14 : x
  2. Step 2: Convert to fraction form
    462.40/693.96 = 398.14/x
  3. Step 3: Cross multiply
    462.40x = 693.96 × 398.14
  4. Step 4: Simplify right side
    462.40x = 276,293.23
  5. Step 5: Solve for x
    x = 276,293.23/462.40
  6. Step 6: Final answer
    x = 597.52

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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.