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Finding the Fourth Proportional to 579.79, 800.12 and 314.24

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Solution

The fourth proportional to 579.79, 800.12 and 314.24 is: 433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.79 : 800.12 = 314.24 : x
  2. Step 2: Convert to fraction form
    579.79/800.12 = 314.24/x
  3. Step 3: Cross multiply
    579.79x = 800.12 × 314.24
  4. Step 4: Simplify right side
    579.79x = 251,429.23
  5. Step 5: Solve for x
    x = 251,429.23/579.79
  6. Step 6: Final answer
    x = 433.65

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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.