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Finding the Fourth Proportional to 600.52, 828.24 and 403.68

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Solution

The fourth proportional to 600.52, 828.24 and 403.68 is: 556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.52 : 828.24 = 403.68 : x
  2. Step 2: Convert to fraction form
    600.52/828.24 = 403.68/x
  3. Step 3: Cross multiply
    600.52x = 828.24 × 403.68
  4. Step 4: Simplify right side
    600.52x = 334,343.92
  5. Step 5: Solve for x
    x = 334,343.92/600.52
  6. Step 6: Final answer
    x = 556.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.