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Finding the Fourth Proportional to 600.58, 900.99 and 311.98

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Solution

The fourth proportional to 600.58, 900.99 and 311.98 is: 468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.58 : 900.99 = 311.98 : x
  2. Step 2: Convert to fraction form
    600.58/900.99 = 311.98/x
  3. Step 3: Cross multiply
    600.58x = 900.99 × 311.98
  4. Step 4: Simplify right side
    600.58x = 281,090.86
  5. Step 5: Solve for x
    x = 281,090.86/600.58
  6. Step 6: Final answer
    x = 468.03

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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.