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Finding the Fourth Proportional to 598.88, 896.61 and 462.20

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Solution

The fourth proportional to 598.88, 896.61 and 462.20 is: 691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.88 : 896.61 = 462.20 : x
  2. Step 2: Convert to fraction form
    598.88/896.61 = 462.20/x
  3. Step 3: Cross multiply
    598.88x = 896.61 × 462.20
  4. Step 4: Simplify right side
    598.88x = 414,410.39
  5. Step 5: Solve for x
    x = 414,410.39/598.88
  6. Step 6: Final answer
    x = 691.97

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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.