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Finding the Fourth Proportional to 594.69, 819.69 and 447.07

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Solution

The fourth proportional to 594.69, 819.69 and 447.07 is: 616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.69 : 819.69 = 447.07 : x
  2. Step 2: Convert to fraction form
    594.69/819.69 = 447.07/x
  3. Step 3: Cross multiply
    594.69x = 819.69 × 447.07
  4. Step 4: Simplify right side
    594.69x = 366,459.13
  5. Step 5: Solve for x
    x = 366,459.13/594.69
  6. Step 6: Final answer
    x = 616.22

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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.