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Finding the Fourth Proportional to 563.60, 856.24 and 563.60

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Solution

The fourth proportional to 563.60, 856.24 and 563.60 is: 856.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.60 : 856.24 = 563.60 : x
  2. Step 2: Convert to fraction form
    563.60/856.24 = 563.60/x
  3. Step 3: Cross multiply
    563.60x = 856.24 × 563.60
  4. Step 4: Simplify right side
    563.60x = 482,576.86
  5. Step 5: Solve for x
    x = 482,576.86/563.60
  6. Step 6: Final answer
    x = 856.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.