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Finding the Fourth Proportional to 594.92, 819.32 and 512

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Solution

The fourth proportional to 594.92, 819.32 and 512 is: 705.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.92 : 819.32 = 512 : x
  2. Step 2: Convert to fraction form
    594.92/819.32 = 512/x
  3. Step 3: Cross multiply
    594.92x = 819.32 × 512
  4. Step 4: Simplify right side
    594.92x = 419,491.84
  5. Step 5: Solve for x
    x = 419,491.84/594.92
  6. Step 6: Final answer
    x = 705.12

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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.