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Finding the Fourth Proportional to 563.28, 846.24 and 347.04

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Solution

The fourth proportional to 563.28, 846.24 and 347.04 is: 521.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.28 : 846.24 = 347.04 : x
  2. Step 2: Convert to fraction form
    563.28/846.24 = 347.04/x
  3. Step 3: Cross multiply
    563.28x = 846.24 × 347.04
  4. Step 4: Simplify right side
    563.28x = 293,679.13
  5. Step 5: Solve for x
    x = 293,679.13/563.28
  6. Step 6: Final answer
    x = 521.37

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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.