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Finding the Fourth Proportional to 566.22, 849.61 and 258.04

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Solution

The fourth proportional to 566.22, 849.61 and 258.04 is: 387.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.22 : 849.61 = 258.04 : x
  2. Step 2: Convert to fraction form
    566.22/849.61 = 258.04/x
  3. Step 3: Cross multiply
    566.22x = 849.61 × 258.04
  4. Step 4: Simplify right side
    566.22x = 219,233.36
  5. Step 5: Solve for x
    x = 219,233.36/566.22
  6. Step 6: Final answer
    x = 387.19

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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.