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Finding the Fourth Proportional to 591.00, 815.15 and 512.17

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Solution

The fourth proportional to 591.00, 815.15 and 512.17 is: 706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.00 : 815.15 = 512.17 : x
  2. Step 2: Convert to fraction form
    591.00/815.15 = 512.17/x
  3. Step 3: Cross multiply
    591.00x = 815.15 × 512.17
  4. Step 4: Simplify right side
    591.00x = 417,499.20
  5. Step 5: Solve for x
    x = 417,499.20/591.00
  6. Step 6: Final answer
    x = 706.43

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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.