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Finding the Fourth Proportional to 594.01, 819.99 and 407.44

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Solution

The fourth proportional to 594.01, 819.99 and 407.44 is: 562.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.01 : 819.99 = 407.44 : x
  2. Step 2: Convert to fraction form
    594.01/819.99 = 407.44/x
  3. Step 3: Cross multiply
    594.01x = 819.99 × 407.44
  4. Step 4: Simplify right side
    594.01x = 334,096.73
  5. Step 5: Solve for x
    x = 334,096.73/594.01
  6. Step 6: Final answer
    x = 562.44

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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.