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Finding the Fourth Proportional to 291.50, 403.08 and 261.12

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Solution

The fourth proportional to 291.50, 403.08 and 261.12 is: 361.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.50 : 403.08 = 261.12 : x
  2. Step 2: Convert to fraction form
    291.50/403.08 = 261.12/x
  3. Step 3: Cross multiply
    291.50x = 403.08 × 261.12
  4. Step 4: Simplify right side
    291.50x = 105,252.78
  5. Step 5: Solve for x
    x = 105,252.78/291.50
  6. Step 6: Final answer
    x = 361.07

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Why These Related Problems?

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