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Finding the Fourth Proportional to 571.24, 857.10 and 282.68

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Solution

The fourth proportional to 571.24, 857.10 and 282.68 is: 424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.24 : 857.10 = 282.68 : x
  2. Step 2: Convert to fraction form
    571.24/857.10 = 282.68/x
  3. Step 3: Cross multiply
    571.24x = 857.10 × 282.68
  4. Step 4: Simplify right side
    571.24x = 242,285.03
  5. Step 5: Solve for x
    x = 242,285.03/571.24
  6. Step 6: Final answer
    x = 424.14

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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.