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Finding the Fourth Proportional to 477.57, 659.01 and 291.09

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Solution

The fourth proportional to 477.57, 659.01 and 291.09 is: 401.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.57 : 659.01 = 291.09 : x
  2. Step 2: Convert to fraction form
    477.57/659.01 = 291.09/x
  3. Step 3: Cross multiply
    477.57x = 659.01 × 291.09
  4. Step 4: Simplify right side
    477.57x = 191,833.97
  5. Step 5: Solve for x
    x = 191,833.97/477.57
  6. Step 6: Final answer
    x = 401.69

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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.