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Finding the Fourth Proportional to 261.46, 390.12 and 255.29

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Solution

The fourth proportional to 261.46, 390.12 and 255.29 is: 380.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.46 : 390.12 = 255.29 : x
  2. Step 2: Convert to fraction form
    261.46/390.12 = 255.29/x
  3. Step 3: Cross multiply
    261.46x = 390.12 × 255.29
  4. Step 4: Simplify right side
    261.46x = 99,590.83
  5. Step 5: Solve for x
    x = 99,590.83/261.46
  6. Step 6: Final answer
    x = 380.90

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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.