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Finding the Fourth Proportional to 591.47, 815.76 and 513.71

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Solution

The fourth proportional to 591.47, 815.76 and 513.71 is: 708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.47 : 815.76 = 513.71 : x
  2. Step 2: Convert to fraction form
    591.47/815.76 = 513.71/x
  3. Step 3: Cross multiply
    591.47x = 815.76 × 513.71
  4. Step 4: Simplify right side
    591.47x = 419,059.99
  5. Step 5: Solve for x
    x = 419,059.99/591.47
  6. Step 6: Final answer
    x = 708.51

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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.