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Finding the Fourth Proportional to 600.32, 900.74 and 253.88

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Solution

The fourth proportional to 600.32, 900.74 and 253.88 is: 380.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.32 : 900.74 = 253.88 : x
  2. Step 2: Convert to fraction form
    600.32/900.74 = 253.88/x
  3. Step 3: Cross multiply
    600.32x = 900.74 × 253.88
  4. Step 4: Simplify right side
    600.32x = 228,679.87
  5. Step 5: Solve for x
    x = 228,679.87/600.32
  6. Step 6: Final answer
    x = 380.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.