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Finding the Fourth Proportional to 594.12, 819.82 and 358.07

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Solution

The fourth proportional to 594.12, 819.82 and 358.07 is: 494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.12 : 819.82 = 358.07 : x
  2. Step 2: Convert to fraction form
    594.12/819.82 = 358.07/x
  3. Step 3: Cross multiply
    594.12x = 819.82 × 358.07
  4. Step 4: Simplify right side
    594.12x = 293,552.95
  5. Step 5: Solve for x
    x = 293,552.95/594.12
  6. Step 6: Final answer
    x = 494.10

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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.