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Finding the Fourth Proportional to 467.10, 698.94 and 402.84

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Solution

The fourth proportional to 467.10, 698.94 and 402.84 is: 602.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.10 : 698.94 = 402.84 : x
  2. Step 2: Convert to fraction form
    467.10/698.94 = 402.84/x
  3. Step 3: Cross multiply
    467.10x = 698.94 × 402.84
  4. Step 4: Simplify right side
    467.10x = 281,560.99
  5. Step 5: Solve for x
    x = 281,560.99/467.10
  6. Step 6: Final answer
    x = 602.79

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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.