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Finding the Fourth Proportional to 579.78, 800.10 and 314.22

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Solution

The fourth proportional to 579.78, 800.10 and 314.22 is: 433.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.78 : 800.10 = 314.22 : x
  2. Step 2: Convert to fraction form
    579.78/800.10 = 314.22/x
  3. Step 3: Cross multiply
    579.78x = 800.10 × 314.22
  4. Step 4: Simplify right side
    579.78x = 251,411.21
  5. Step 5: Solve for x
    x = 251,411.21/579.78
  6. Step 6: Final answer
    x = 433.63

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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.