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Finding the Fourth Proportional to 566.19, 849.06 and 257.96

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Solution

The fourth proportional to 566.19, 849.06 and 257.96 is: 386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.19 : 849.06 = 257.96 : x
  2. Step 2: Convert to fraction form
    566.19/849.06 = 257.96/x
  3. Step 3: Cross multiply
    566.19x = 849.06 × 257.96
  4. Step 4: Simplify right side
    566.19x = 219,022.53
  5. Step 5: Solve for x
    x = 219,022.53/566.19
  6. Step 6: Final answer
    x = 386.84

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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.