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Finding the Fourth Proportional to 351.04, 525.84 and 282.19

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Solution

The fourth proportional to 351.04, 525.84 and 282.19 is: 422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.04 : 525.84 = 282.19 : x
  2. Step 2: Convert to fraction form
    351.04/525.84 = 282.19/x
  3. Step 3: Cross multiply
    351.04x = 525.84 × 282.19
  4. Step 4: Simplify right side
    351.04x = 148,386.79
  5. Step 5: Solve for x
    x = 148,386.79/351.04
  6. Step 6: Final answer
    x = 422.71

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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.