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Finding the Fourth Proportional to 465.61, 698.06 and 294.25

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Solution

The fourth proportional to 465.61, 698.06 and 294.25 is: 441.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.61 : 698.06 = 294.25 : x
  2. Step 2: Convert to fraction form
    465.61/698.06 = 294.25/x
  3. Step 3: Cross multiply
    465.61x = 698.06 × 294.25
  4. Step 4: Simplify right side
    465.61x = 205,402.68
  5. Step 5: Solve for x
    x = 205,402.68/465.61
  6. Step 6: Final answer
    x = 441.15

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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.