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Finding the Fourth Proportional to 477.56, 716.34 and 261.08

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Solution

The fourth proportional to 477.56, 716.34 and 261.08 is: 391.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.56 : 716.34 = 261.08 : x
  2. Step 2: Convert to fraction form
    477.56/716.34 = 261.08/x
  3. Step 3: Cross multiply
    477.56x = 716.34 × 261.08
  4. Step 4: Simplify right side
    477.56x = 187,022.05
  5. Step 5: Solve for x
    x = 187,022.05/477.56
  6. Step 6: Final answer
    x = 391.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.