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Finding the Fourth Proportional to 600.60, 901.23 and 253.86

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Solution

The fourth proportional to 600.60, 901.23 and 253.86 is: 380.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.60 : 901.23 = 253.86 : x
  2. Step 2: Convert to fraction form
    600.60/901.23 = 253.86/x
  3. Step 3: Cross multiply
    600.60x = 901.23 × 253.86
  4. Step 4: Simplify right side
    600.60x = 228,786.25
  5. Step 5: Solve for x
    x = 228,786.25/600.60
  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.