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Finding the Fourth Proportional to 572.16, 856.47 and 563.25

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Solution

The fourth proportional to 572.16, 856.47 and 563.25 is: 843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.16 : 856.47 = 563.25 : x
  2. Step 2: Convert to fraction form
    572.16/856.47 = 563.25/x
  3. Step 3: Cross multiply
    572.16x = 856.47 × 563.25
  4. Step 4: Simplify right side
    572.16x = 482,412.05
  5. Step 5: Solve for x
    x = 482,412.05/572.16
  6. Step 6: Final answer
    x = 843.14

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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.