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Finding the Fourth Proportional to 599.87, 900.21 and 311.51

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Solution

The fourth proportional to 599.87, 900.21 and 311.51 is: 467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.87 : 900.21 = 311.51 : x
  2. Step 2: Convert to fraction form
    599.87/900.21 = 311.51/x
  3. Step 3: Cross multiply
    599.87x = 900.21 × 311.51
  4. Step 4: Simplify right side
    599.87x = 280,424.42
  5. Step 5: Solve for x
    x = 280,424.42/599.87
  6. Step 6: Final answer
    x = 467.48

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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.