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Finding the Fourth Proportional to 477.72, 659.31 and 291.24

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Solution

The fourth proportional to 477.72, 659.31 and 291.24 is: 401.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.72 : 659.31 = 291.24 : x
  2. Step 2: Convert to fraction form
    477.72/659.31 = 291.24/x
  3. Step 3: Cross multiply
    477.72x = 659.31 × 291.24
  4. Step 4: Simplify right side
    477.72x = 192,017.44
  5. Step 5: Solve for x
    x = 192,017.44/477.72
  6. Step 6: Final answer
    x = 401.95

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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.