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Finding the Fourth Proportional to 471.29, 650.33 and 282.24

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Solution

The fourth proportional to 471.29, 650.33 and 282.24 is: 389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.29 : 650.33 = 282.24 : x
  2. Step 2: Convert to fraction form
    471.29/650.33 = 282.24/x
  3. Step 3: Cross multiply
    471.29x = 650.33 × 282.24
  4. Step 4: Simplify right side
    471.29x = 183,549.14
  5. Step 5: Solve for x
    x = 183,549.14/471.29
  6. Step 6: Final answer
    x = 389.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.