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Finding the Fourth Proportional to 465.30, 698.16 and 205.18

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Solution

The fourth proportional to 465.30, 698.16 and 205.18 is: 307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.30 : 698.16 = 205.18 : x
  2. Step 2: Convert to fraction form
    465.30/698.16 = 205.18/x
  3. Step 3: Cross multiply
    465.30x = 698.16 × 205.18
  4. Step 4: Simplify right side
    465.30x = 143,248.47
  5. Step 5: Solve for x
    x = 143,248.47/465.30
  6. Step 6: Final answer
    x = 307.86

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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.