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Finding the Fourth Proportional to 261.66, 389.70 and 258.48

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Solution

The fourth proportional to 261.66, 389.70 and 258.48 is: 384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.66 : 389.70 = 258.48 : x
  2. Step 2: Convert to fraction form
    261.66/389.70 = 258.48/x
  3. Step 3: Cross multiply
    261.66x = 389.70 × 258.48
  4. Step 4: Simplify right side
    261.66x = 100,729.66
  5. Step 5: Solve for x
    x = 100,729.66/261.66
  6. Step 6: Final answer
    x = 384.96

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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.