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Finding the Fourth Proportional to 291.34, 436.74 and 275.23

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Solution

The fourth proportional to 291.34, 436.74 and 275.23 is: 412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.34 : 436.74 = 275.23 : x
  2. Step 2: Convert to fraction form
    291.34/436.74 = 275.23/x
  3. Step 3: Cross multiply
    291.34x = 436.74 × 275.23
  4. Step 4: Simplify right side
    291.34x = 120,203.95
  5. Step 5: Solve for x
    x = 120,203.95/291.34
  6. Step 6: Final answer
    x = 412.59

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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.