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Finding the Fourth Proportional to 589.40, 884.77 and 346.10

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Solution

The fourth proportional to 589.40, 884.77 and 346.10 is: 519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.40 : 884.77 = 346.10 : x
  2. Step 2: Convert to fraction form
    589.40/884.77 = 346.10/x
  3. Step 3: Cross multiply
    589.40x = 884.77 × 346.10
  4. Step 4: Simplify right side
    589.40x = 306,214.47
  5. Step 5: Solve for x
    x = 306,214.47/589.40
  6. Step 6: Final answer
    x = 519.54

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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.