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Finding the Fourth Proportional to 600.46, 828.45 and 348.37

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Solution

The fourth proportional to 600.46, 828.45 and 348.37 is: 480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.46 : 828.45 = 348.37 : x
  2. Step 2: Convert to fraction form
    600.46/828.45 = 348.37/x
  3. Step 3: Cross multiply
    600.46x = 828.45 × 348.37
  4. Step 4: Simplify right side
    600.46x = 288,602.98
  5. Step 5: Solve for x
    x = 288,602.98/600.46
  6. Step 6: Final answer
    x = 480.64

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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.