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Finding the Fourth Proportional to 566.30, 849.16 and 257.94

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Solution

The fourth proportional to 566.30, 849.16 and 257.94 is: 386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.30 : 849.16 = 257.94 : x
  2. Step 2: Convert to fraction form
    566.30/849.16 = 257.94/x
  3. Step 3: Cross multiply
    566.30x = 849.16 × 257.94
  4. Step 4: Simplify right side
    566.30x = 219,032.33
  5. Step 5: Solve for x
    x = 219,032.33/566.30
  6. Step 6: Final answer
    x = 386.78

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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.