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Finding the Fourth Proportional to 377.93, 521.75 and 261.29

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Solution

The fourth proportional to 377.93, 521.75 and 261.29 is: 360.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.93 : 521.75 = 261.29 : x
  2. Step 2: Convert to fraction form
    377.93/521.75 = 261.29/x
  3. Step 3: Cross multiply
    377.93x = 521.75 × 261.29
  4. Step 4: Simplify right side
    377.93x = 136,328.06
  5. Step 5: Solve for x
    x = 136,328.06/377.93
  6. Step 6: Final answer
    x = 360.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.