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Finding the Fourth Proportional to 589.92, 814.04 and 357

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Solution

The fourth proportional to 589.92, 814.04 and 357 is: 492.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.92 : 814.04 = 357 : x
  2. Step 2: Convert to fraction form
    589.92/814.04 = 357/x
  3. Step 3: Cross multiply
    589.92x = 814.04 × 357
  4. Step 4: Simplify right side
    589.92x = 290,612.28
  5. Step 5: Solve for x
    x = 290,612.28/589.92
  6. Step 6: Final answer
    x = 492.63

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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.