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Finding the Fourth Proportional to 589.78, 884.74 and 343.10

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Solution

The fourth proportional to 589.78, 884.74 and 343.10 is: 514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.78 : 884.74 = 343.10 : x
  2. Step 2: Convert to fraction form
    589.78/884.74 = 343.10/x
  3. Step 3: Cross multiply
    589.78x = 884.74 × 343.10
  4. Step 4: Simplify right side
    589.78x = 303,554.29
  5. Step 5: Solve for x
    x = 303,554.29/589.78
  6. Step 6: Final answer
    x = 514.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.