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Finding the Fourth Proportional to 563.66, 843.99 and 453.45

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Solution

The fourth proportional to 563.66, 843.99 and 453.45 is: 678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.66 : 843.99 = 453.45 : x
  2. Step 2: Convert to fraction form
    563.66/843.99 = 453.45/x
  3. Step 3: Cross multiply
    563.66x = 843.99 × 453.45
  4. Step 4: Simplify right side
    563.66x = 382,707.81
  5. Step 5: Solve for x
    x = 382,707.81/563.66
  6. Step 6: Final answer
    x = 678.97

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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.