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Finding the Fourth Proportional to 591.76, 816.49 and 339.72

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Solution

The fourth proportional to 591.76, 816.49 and 339.72 is: 468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.76 : 816.49 = 339.72 : x
  2. Step 2: Convert to fraction form
    591.76/816.49 = 339.72/x
  3. Step 3: Cross multiply
    591.76x = 816.49 × 339.72
  4. Step 4: Simplify right side
    591.76x = 277,377.98
  5. Step 5: Solve for x
    x = 277,377.98/591.76
  6. Step 6: Final answer
    x = 468.73

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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.