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Finding the Fourth Proportional to 261.28, 389.59 and 258.09

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Solution

The fourth proportional to 261.28, 389.59 and 258.09 is: 384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.28 : 389.59 = 258.09 : x
  2. Step 2: Convert to fraction form
    261.28/389.59 = 258.09/x
  3. Step 3: Cross multiply
    261.28x = 389.59 × 258.09
  4. Step 4: Simplify right side
    261.28x = 100,549.28
  5. Step 5: Solve for x
    x = 100,549.28/261.28
  6. Step 6: Final answer
    x = 384.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.