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Finding the Fourth Proportional to 565.73, 850.32 and 553.62

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Solution

The fourth proportional to 565.73, 850.32 and 553.62 is: 832.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.73 : 850.32 = 553.62 : x
  2. Step 2: Convert to fraction form
    565.73/850.32 = 553.62/x
  3. Step 3: Cross multiply
    565.73x = 850.32 × 553.62
  4. Step 4: Simplify right side
    565.73x = 470,754.16
  5. Step 5: Solve for x
    x = 470,754.16/565.73
  6. Step 6: Final answer
    x = 832.12

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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.