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Finding the Fourth Proportional to 566.39, 849.74 and 512.17

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Solution

The fourth proportional to 566.39, 849.74 and 512.17 is: 768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.39 : 849.74 = 512.17 : x
  2. Step 2: Convert to fraction form
    566.39/849.74 = 512.17/x
  3. Step 3: Cross multiply
    566.39x = 849.74 × 512.17
  4. Step 4: Simplify right side
    566.39x = 435,206.65
  5. Step 5: Solve for x
    x = 435,206.65/566.39
  6. Step 6: Final answer
    x = 768.39

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