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Finding the Fourth Proportional to 465.77, 698.61 and 141.13

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Solution

The fourth proportional to 465.77, 698.61 and 141.13 is: 211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.77 : 698.61 = 141.13 : x
  2. Step 2: Convert to fraction form
    465.77/698.61 = 141.13/x
  3. Step 3: Cross multiply
    465.77x = 698.61 × 141.13
  4. Step 4: Simplify right side
    465.77x = 98,594.83
  5. Step 5: Solve for x
    x = 98,594.83/465.77
  6. Step 6: Final answer
    x = 211.68

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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.