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Finding the Fourth Proportional to 465.82, 642.87 and 291.34

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Solution

The fourth proportional to 465.82, 642.87 and 291.34 is: 402.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.82 : 642.87 = 291.34 : x
  2. Step 2: Convert to fraction form
    465.82/642.87 = 291.34/x
  3. Step 3: Cross multiply
    465.82x = 642.87 × 291.34
  4. Step 4: Simplify right side
    465.82x = 187,293.75
  5. Step 5: Solve for x
    x = 187,293.75/465.82
  6. Step 6: Final answer
    x = 402.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.