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Finding the Fourth Proportional to 566.16, 849.20 and 277.52

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Solution

The fourth proportional to 566.16, 849.20 and 277.52 is: 416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.16 : 849.20 = 277.52 : x
  2. Step 2: Convert to fraction form
    566.16/849.20 = 277.52/x
  3. Step 3: Cross multiply
    566.16x = 849.20 × 277.52
  4. Step 4: Simplify right side
    566.16x = 235,669.98
  5. Step 5: Solve for x
    x = 235,669.98/566.16
  6. Step 6: Final answer
    x = 416.26

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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.