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Finding the Fourth Proportional to 469.04, 698.17 and 462.11

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Solution

The fourth proportional to 469.04, 698.17 and 462.11 is: 687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.04 : 698.17 = 462.11 : x
  2. Step 2: Convert to fraction form
    469.04/698.17 = 462.11/x
  3. Step 3: Cross multiply
    469.04x = 698.17 × 462.11
  4. Step 4: Simplify right side
    469.04x = 322,631.34
  5. Step 5: Solve for x
    x = 322,631.34/469.04
  6. Step 6: Final answer
    x = 687.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.