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Finding the Fourth Proportional to 599.78, 828.36 and 534.18

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Solution

The fourth proportional to 599.78, 828.36 and 534.18 is: 737.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.78 : 828.36 = 534.18 : x
  2. Step 2: Convert to fraction form
    599.78/828.36 = 534.18/x
  3. Step 3: Cross multiply
    599.78x = 828.36 × 534.18
  4. Step 4: Simplify right side
    599.78x = 442,493.34
  5. Step 5: Solve for x
    x = 442,493.34/599.78
  6. Step 6: Final answer
    x = 737.76

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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.