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Finding the Fourth Proportional to 571.68, 857.28 and 282.72

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Solution

The fourth proportional to 571.68, 857.28 and 282.72 is: 423.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.68 : 857.28 = 282.72 : x
  2. Step 2: Convert to fraction form
    571.68/857.28 = 282.72/x
  3. Step 3: Cross multiply
    571.68x = 857.28 × 282.72
  4. Step 4: Simplify right side
    571.68x = 242,370.20
  5. Step 5: Solve for x
    x = 242,370.20/571.68
  6. Step 6: Final answer
    x = 423.96

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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.