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Finding the Fourth Proportional to 566.92, 849.14 and 277.76

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Solution

The fourth proportional to 566.92, 849.14 and 277.76 is: 416.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.92 : 849.14 = 277.76 : x
  2. Step 2: Convert to fraction form
    566.92/849.14 = 277.76/x
  3. Step 3: Cross multiply
    566.92x = 849.14 × 277.76
  4. Step 4: Simplify right side
    566.92x = 235,857.13
  5. Step 5: Solve for x
    x = 235,857.13/566.92
  6. Step 6: Final answer
    x = 416.03

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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.