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Finding the Fourth Proportional to 600.15, 900.53 and 311.59

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Solution

The fourth proportional to 600.15, 900.53 and 311.59 is: 467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.15 : 900.53 = 311.59 : x
  2. Step 2: Convert to fraction form
    600.15/900.53 = 311.59/x
  3. Step 3: Cross multiply
    600.15x = 900.53 × 311.59
  4. Step 4: Simplify right side
    600.15x = 280,596.14
  5. Step 5: Solve for x
    x = 280,596.14/600.15
  6. Step 6: Final answer
    x = 467.54

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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.