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Finding the Fourth Proportional to 597.78, 824.94 and 376.83

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Solution

The fourth proportional to 597.78, 824.94 and 376.83 is: 520.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.78 : 824.94 = 376.83 : x
  2. Step 2: Convert to fraction form
    597.78/824.94 = 376.83/x
  3. Step 3: Cross multiply
    597.78x = 824.94 × 376.83
  4. Step 4: Simplify right side
    597.78x = 310,862.14
  5. Step 5: Solve for x
    x = 310,862.14/597.78
  6. Step 6: Final answer
    x = 520.03

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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.