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Finding the Fourth Proportional to 261.10, 389.35 and 255.34

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Solution

The fourth proportional to 261.10, 389.35 and 255.34 is: 380.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.10 : 389.35 = 255.34 : x
  2. Step 2: Convert to fraction form
    261.10/389.35 = 255.34/x
  3. Step 3: Cross multiply
    261.10x = 389.35 × 255.34
  4. Step 4: Simplify right side
    261.10x = 99,416.63
  5. Step 5: Solve for x
    x = 99,416.63/261.10
  6. Step 6: Final answer
    x = 380.76

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