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Finding the Fourth Proportional to 563.68, 845.52 and 402.22

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Solution

The fourth proportional to 563.68, 845.52 and 402.22 is: 603.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.68 : 845.52 = 402.22 : x
  2. Step 2: Convert to fraction form
    563.68/845.52 = 402.22/x
  3. Step 3: Cross multiply
    563.68x = 845.52 × 402.22
  4. Step 4: Simplify right side
    563.68x = 340,085.05
  5. Step 5: Solve for x
    x = 340,085.05/563.68
  6. Step 6: Final answer
    x = 603.33

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Similar ratio
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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.