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Finding the Fourth Proportional to 291.47, 436.93 and 275.36

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Solution

The fourth proportional to 291.47, 436.93 and 275.36 is: 412.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.47 : 436.93 = 275.36 : x
  2. Step 2: Convert to fraction form
    291.47/436.93 = 275.36/x
  3. Step 3: Cross multiply
    291.47x = 436.93 × 275.36
  4. Step 4: Simplify right side
    291.47x = 120,309.48
  5. Step 5: Solve for x
    x = 120,309.48/291.47
  6. Step 6: Final answer
    x = 412.78

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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.