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Finding the Fourth Proportional to 291.23, 436.80 and 275.16

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Solution

The fourth proportional to 291.23, 436.80 and 275.16 is: 412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.23 : 436.80 = 275.16 : x
  2. Step 2: Convert to fraction form
    291.23/436.80 = 275.16/x
  3. Step 3: Cross multiply
    291.23x = 436.80 × 275.16
  4. Step 4: Simplify right side
    291.23x = 120,189.89
  5. Step 5: Solve for x
    x = 120,189.89/291.23
  6. Step 6: Final answer
    x = 412.70

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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.