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Finding the Fourth Proportional to 579.83, 800.28 and 403.16

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Solution

The fourth proportional to 579.83, 800.28 and 403.16 is: 556.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.83 : 800.28 = 403.16 : x
  2. Step 2: Convert to fraction form
    579.83/800.28 = 403.16/x
  3. Step 3: Cross multiply
    579.83x = 800.28 × 403.16
  4. Step 4: Simplify right side
    579.83x = 322,640.88
  5. Step 5: Solve for x
    x = 322,640.88/579.83
  6. Step 6: Final answer
    x = 556.44

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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.