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Finding the Fourth Proportional to 594.02, 819.20 and 369.66

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Solution

The fourth proportional to 594.02, 819.20 and 369.66 is: 509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.02 : 819.20 = 369.66 : x
  2. Step 2: Convert to fraction form
    594.02/819.20 = 369.66/x
  3. Step 3: Cross multiply
    594.02x = 819.20 × 369.66
  4. Step 4: Simplify right side
    594.02x = 302,823.62
  5. Step 5: Solve for x
    x = 302,823.62/594.02
  6. Step 6: Final answer
    x = 509.79

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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.