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Finding the Fourth Proportional to 571.30, 856.34 and 282.13

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Solution

The fourth proportional to 571.30, 856.34 and 282.13 is: 422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.30 : 856.34 = 282.13 : x
  2. Step 2: Convert to fraction form
    571.30/856.34 = 282.13/x
  3. Step 3: Cross multiply
    571.30x = 856.34 × 282.13
  4. Step 4: Simplify right side
    571.30x = 241,593.51
  5. Step 5: Solve for x
    x = 241,593.51/571.30
  6. Step 6: Final answer
    x = 422.89

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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.