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Finding the Fourth Proportional to 291.34, 436.10 and 260.42

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Solution

The fourth proportional to 291.34, 436.10 and 260.42 is: 389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.34 : 436.10 = 260.42 : x
  2. Step 2: Convert to fraction form
    291.34/436.10 = 260.42/x
  3. Step 3: Cross multiply
    291.34x = 436.10 × 260.42
  4. Step 4: Simplify right side
    291.34x = 113,568.95
  5. Step 5: Solve for x
    x = 113,568.95/291.34
  6. Step 6: Final answer
    x = 389.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.