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Finding the Fourth Proportional to 594.02, 819.89 and 373.09

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Solution

The fourth proportional to 594.02, 819.89 and 373.09 is: 514.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.02 : 819.89 = 373.09 : x
  2. Step 2: Convert to fraction form
    594.02/819.89 = 373.09/x
  3. Step 3: Cross multiply
    594.02x = 819.89 × 373.09
  4. Step 4: Simplify right side
    594.02x = 305,892.76
  5. Step 5: Solve for x
    x = 305,892.76/594.02
  6. Step 6: Final answer
    x = 514.95

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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.