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Finding the Fourth Proportional to 566.39, 850.27 and 537.68

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Solution

The fourth proportional to 566.39, 850.27 and 537.68 is: 807.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.39 : 850.27 = 537.68 : x
  2. Step 2: Convert to fraction form
    566.39/850.27 = 537.68/x
  3. Step 3: Cross multiply
    566.39x = 850.27 × 537.68
  4. Step 4: Simplify right side
    566.39x = 457,170.49
  5. Step 5: Solve for x
    x = 457,170.49/566.39
  6. Step 6: Final answer
    x = 807.17

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Why These Related Problems?

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