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Finding the Fourth Proportional to 563.25, 776.77 and 353.45

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Solution

The fourth proportional to 563.25, 776.77 and 353.45 is: 487.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.25 : 776.77 = 353.45 : x
  2. Step 2: Convert to fraction form
    563.25/776.77 = 353.45/x
  3. Step 3: Cross multiply
    563.25x = 776.77 × 353.45
  4. Step 4: Simplify right side
    563.25x = 274,545.47
  5. Step 5: Solve for x
    x = 274,545.47/563.25
  6. Step 6: Final answer
    x = 487.44

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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.