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Finding the Fourth Proportional to 563.93, 843.66 and 476.28

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Solution

The fourth proportional to 563.93, 843.66 and 476.28 is: 712.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.93 : 843.66 = 476.28 : x
  2. Step 2: Convert to fraction form
    563.93/843.66 = 476.28/x
  3. Step 3: Cross multiply
    563.93x = 843.66 × 476.28
  4. Step 4: Simplify right side
    563.93x = 401,818.38
  5. Step 5: Solve for x
    x = 401,818.38/563.93
  6. Step 6: Final answer
    x = 712.53

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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.