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Finding the Fourth Proportional to 576.77, 865.79 and 535.31

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Solution

The fourth proportional to 576.77, 865.79 and 535.31 is: 803.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.77 : 865.79 = 535.31 : x
  2. Step 2: Convert to fraction form
    576.77/865.79 = 535.31/x
  3. Step 3: Cross multiply
    576.77x = 865.79 × 535.31
  4. Step 4: Simplify right side
    576.77x = 463,464.24
  5. Step 5: Solve for x
    x = 463,464.24/576.77
  6. Step 6: Final answer
    x = 803.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.