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Finding the Fourth Proportional to 465.68, 698.56 and 209.04

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Solution

The fourth proportional to 465.68, 698.56 and 209.04 is: 313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.68 : 698.56 = 209.04 : x
  2. Step 2: Convert to fraction form
    465.68/698.56 = 209.04/x
  3. Step 3: Cross multiply
    465.68x = 698.56 × 209.04
  4. Step 4: Simplify right side
    465.68x = 146,026.98
  5. Step 5: Solve for x
    x = 146,026.98/465.68
  6. Step 6: Final answer
    x = 313.58

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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.