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Finding the Fourth Proportional to 594.08, 819.63 and 357.94

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Solution

The fourth proportional to 594.08, 819.63 and 357.94 is: 493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.08 : 819.63 = 357.94 : x
  2. Step 2: Convert to fraction form
    594.08/819.63 = 357.94/x
  3. Step 3: Cross multiply
    594.08x = 819.63 × 357.94
  4. Step 4: Simplify right side
    594.08x = 293,380.47
  5. Step 5: Solve for x
    x = 293,380.47/594.08
  6. Step 6: Final answer
    x = 493.84

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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.