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Finding the Fourth Proportional to 600.46, 900.96 and 312.10

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Solution

The fourth proportional to 600.46, 900.96 and 312.10 is: 468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.46 : 900.96 = 312.10 : x
  2. Step 2: Convert to fraction form
    600.46/900.96 = 312.10/x
  3. Step 3: Cross multiply
    600.46x = 900.96 × 312.10
  4. Step 4: Simplify right side
    600.46x = 281,189.62
  5. Step 5: Solve for x
    x = 281,189.62/600.46
  6. Step 6: Final answer
    x = 468.29

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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.