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Finding the Fourth Proportional to 600.24, 900.36 and 383.88

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Solution

The fourth proportional to 600.24, 900.36 and 383.88 is: 575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.24 : 900.36 = 383.88 : x
  2. Step 2: Convert to fraction form
    600.24/900.36 = 383.88/x
  3. Step 3: Cross multiply
    600.24x = 900.36 × 383.88
  4. Step 4: Simplify right side
    600.24x = 345,630.20
  5. Step 5: Solve for x
    x = 345,630.20/600.24
  6. Step 6: Final answer
    x = 575.82

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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.