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Finding the Fourth Proportional to 579.69, 800.00 and 317.70

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Solution

The fourth proportional to 579.69, 800.00 and 317.70 is: 438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.69 : 800.00 = 317.70 : x
  2. Step 2: Convert to fraction form
    579.69/800.00 = 317.70/x
  3. Step 3: Cross multiply
    579.69x = 800.00 × 317.70
  4. Step 4: Simplify right side
    579.69x = 254,158.41
  5. Step 5: Solve for x
    x = 254,158.41/579.69
  6. Step 6: Final answer
    x = 438.44

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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.