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Finding the Fourth Proportional to 563.49, 845.46 and 352.62

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Solution

The fourth proportional to 563.49, 845.46 and 352.62 is: 529.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.49 : 845.46 = 352.62 : x
  2. Step 2: Convert to fraction form
    563.49/845.46 = 352.62/x
  3. Step 3: Cross multiply
    563.49x = 845.46 × 352.62
  4. Step 4: Simplify right side
    563.49x = 298,126.11
  5. Step 5: Solve for x
    x = 298,126.11/563.49
  6. Step 6: Final answer
    x = 529.07

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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.