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Finding the Fourth Proportional to 566.46, 849.53 and 258.15

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Solution

The fourth proportional to 566.46, 849.53 and 258.15 is: 387.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.46 : 849.53 = 258.15 : x
  2. Step 2: Convert to fraction form
    566.46/849.53 = 258.15/x
  3. Step 3: Cross multiply
    566.46x = 849.53 × 258.15
  4. Step 4: Simplify right side
    566.46x = 219,306.17
  5. Step 5: Solve for x
    x = 219,306.17/566.46
  6. Step 6: Final answer
    x = 387.15

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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.