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Finding the Fourth Proportional to 600.37, 900.96 and 312.01

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Solution

The fourth proportional to 600.37, 900.96 and 312.01 is: 468.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.37 : 900.96 = 312.01 : x
  2. Step 2: Convert to fraction form
    600.37/900.96 = 312.01/x
  3. Step 3: Cross multiply
    600.37x = 900.96 × 312.01
  4. Step 4: Simplify right side
    600.37x = 281,108.53
  5. Step 5: Solve for x
    x = 281,108.53/600.37
  6. Step 6: Final answer
    x = 468.23

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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.