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Finding the Fourth Proportional to 261.76, 390.59 and 255.59

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Solution

The fourth proportional to 261.76, 390.59 and 255.59 is: 381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.76 : 390.59 = 255.59 : x
  2. Step 2: Convert to fraction form
    261.76/390.59 = 255.59/x
  3. Step 3: Cross multiply
    261.76x = 390.59 × 255.59
  4. Step 4: Simplify right side
    261.76x = 99,830.90
  5. Step 5: Solve for x
    x = 99,830.90/261.76
  6. Step 6: Final answer
    x = 381.38

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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.