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Finding the Fourth Proportional to 594.12, 819.64 and 345.38

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Solution

The fourth proportional to 594.12, 819.64 and 345.38 is: 476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.12 : 819.64 = 345.38 : x
  2. Step 2: Convert to fraction form
    594.12/819.64 = 345.38/x
  3. Step 3: Cross multiply
    594.12x = 819.64 × 345.38
  4. Step 4: Simplify right side
    594.12x = 283,087.26
  5. Step 5: Solve for x
    x = 283,087.26/594.12
  6. Step 6: Final answer
    x = 476.48

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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.