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Finding the Fourth Proportional to 571.16, 856.46 and 282.26

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Solution

The fourth proportional to 571.16, 856.46 and 282.26 is: 423.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.16 : 856.46 = 282.26 : x
  2. Step 2: Convert to fraction form
    571.16/856.46 = 282.26/x
  3. Step 3: Cross multiply
    571.16x = 856.46 × 282.26
  4. Step 4: Simplify right side
    571.16x = 241,744.40
  5. Step 5: Solve for x
    x = 241,744.40/571.16
  6. Step 6: Final answer
    x = 423.25

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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.