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Finding the Fourth Proportional to 471.72, 711.08 and 391.08

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Solution

The fourth proportional to 471.72, 711.08 and 391.08 is: 589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.72 : 711.08 = 391.08 : x
  2. Step 2: Convert to fraction form
    471.72/711.08 = 391.08/x
  3. Step 3: Cross multiply
    471.72x = 711.08 × 391.08
  4. Step 4: Simplify right side
    471.72x = 278,087.34
  5. Step 5: Solve for x
    x = 278,087.34/471.72
  6. Step 6: Final answer
    x = 589.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.