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Finding the Fourth Proportional to 600.80, 901.14 and 292.59

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Solution

The fourth proportional to 600.80, 901.14 and 292.59 is: 438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.80 : 901.14 = 292.59 : x
  2. Step 2: Convert to fraction form
    600.80/901.14 = 292.59/x
  3. Step 3: Cross multiply
    600.80x = 901.14 × 292.59
  4. Step 4: Simplify right side
    600.80x = 263,664.55
  5. Step 5: Solve for x
    x = 263,664.55/600.80
  6. Step 6: Final answer
    x = 438.86

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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.