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Finding the Fourth Proportional to 291.79, 437.81 and 215.14

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Solution

The fourth proportional to 291.79, 437.81 and 215.14 is: 322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.79 : 437.81 = 215.14 : x
  2. Step 2: Convert to fraction form
    291.79/437.81 = 215.14/x
  3. Step 3: Cross multiply
    291.79x = 437.81 × 215.14
  4. Step 4: Simplify right side
    291.79x = 94,190.44
  5. Step 5: Solve for x
    x = 94,190.44/291.79
  6. Step 6: Final answer
    x = 322.80

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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.