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Finding the Fourth Proportional to 289.91, 433.15 and 215.47

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Solution

The fourth proportional to 289.91, 433.15 and 215.47 is: 321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.91 : 433.15 = 215.47 : x
  2. Step 2: Convert to fraction form
    289.91/433.15 = 215.47/x
  3. Step 3: Cross multiply
    289.91x = 433.15 × 215.47
  4. Step 4: Simplify right side
    289.91x = 93,327.59
  5. Step 5: Solve for x
    x = 93,327.59/289.91
  6. Step 6: Final answer
    x = 321.92

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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.