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Finding the Fourth Proportional to 291.09, 434.04 and 280.56

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Solution

The fourth proportional to 291.09, 434.04 and 280.56 is: 418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.09 : 434.04 = 280.56 : x
  2. Step 2: Convert to fraction form
    291.09/434.04 = 280.56/x
  3. Step 3: Cross multiply
    291.09x = 434.04 × 280.56
  4. Step 4: Simplify right side
    291.09x = 121,774.26
  5. Step 5: Solve for x
    x = 121,774.26/291.09
  6. Step 6: Final answer
    x = 418.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.