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Finding the Fourth Proportional to 563.24, 776.36 and 341.78

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Solution

The fourth proportional to 563.24, 776.36 and 341.78 is: 471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.24 : 776.36 = 341.78 : x
  2. Step 2: Convert to fraction form
    563.24/776.36 = 341.78/x
  3. Step 3: Cross multiply
    563.24x = 776.36 × 341.78
  4. Step 4: Simplify right side
    563.24x = 265,338.73
  5. Step 5: Solve for x
    x = 265,338.73/563.24
  6. Step 6: Final answer
    x = 471.10

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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.