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Finding the Fourth Proportional to 302.75, 415.92 and 291.31

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Solution

The fourth proportional to 302.75, 415.92 and 291.31 is: 400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.75 : 415.92 = 291.31 : x
  2. Step 2: Convert to fraction form
    302.75/415.92 = 291.31/x
  3. Step 3: Cross multiply
    302.75x = 415.92 × 291.31
  4. Step 4: Simplify right side
    302.75x = 121,160.62
  5. Step 5: Solve for x
    x = 121,160.62/302.75
  6. Step 6: Final answer
    x = 400.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.