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Finding the Fourth Proportional to 644, 883.28 and 566.24

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Solution

The fourth proportional to 644, 883.28 and 566.24 is: 776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    644 : 883.28 = 566.24 : x
  2. Step 2: Convert to fraction form
    644/883.28 = 566.24/x
  3. Step 3: Cross multiply
    644x = 883.28 × 566.24
  4. Step 4: Simplify right side
    644x = 500,148.47
  5. Step 5: Solve for x
    x = 500,148.47/644
  6. Step 6: Final answer
    x = 776.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.