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Finding the Fourth Proportional to 465.84, 698.56 and 141.13

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Solution

The fourth proportional to 465.84, 698.56 and 141.13 is: 211.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.84 : 698.56 = 141.13 : x
  2. Step 2: Convert to fraction form
    465.84/698.56 = 141.13/x
  3. Step 3: Cross multiply
    465.84x = 698.56 × 141.13
  4. Step 4: Simplify right side
    465.84x = 98,587.77
  5. Step 5: Solve for x
    x = 98,587.77/465.84
  6. Step 6: Final answer
    x = 211.63

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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.