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Finding the Fourth Proportional to 600.70, 828.72 and 364.54

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Solution

The fourth proportional to 600.70, 828.72 and 364.54 is: 502.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.70 : 828.72 = 364.54 : x
  2. Step 2: Convert to fraction form
    600.70/828.72 = 364.54/x
  3. Step 3: Cross multiply
    600.70x = 828.72 × 364.54
  4. Step 4: Simplify right side
    600.70x = 302,101.59
  5. Step 5: Solve for x
    x = 302,101.59/600.70
  6. Step 6: Final answer
    x = 502.92

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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.