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Finding the Fourth Proportional to 594.20, 819.79 and 358.12

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Solution

The fourth proportional to 594.20, 819.79 and 358.12 is: 494.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.20 : 819.79 = 358.12 : x
  2. Step 2: Convert to fraction form
    594.20/819.79 = 358.12/x
  3. Step 3: Cross multiply
    594.20x = 819.79 × 358.12
  4. Step 4: Simplify right side
    594.20x = 293,583.32
  5. Step 5: Solve for x
    x = 293,583.32/594.20
  6. Step 6: Final answer
    x = 494.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.