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Finding the Fourth Proportional to 465.52, 642.69 and 291.10

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Solution

The fourth proportional to 465.52, 642.69 and 291.10 is: 401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.52 : 642.69 = 291.10 : x
  2. Step 2: Convert to fraction form
    465.52/642.69 = 291.10/x
  3. Step 3: Cross multiply
    465.52x = 642.69 × 291.10
  4. Step 4: Simplify right side
    465.52x = 187,087.06
  5. Step 5: Solve for x
    x = 187,087.06/465.52
  6. Step 6: Final answer
    x = 401.89

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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.