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Finding the Fourth Proportional to 283.72, 425.30 and 215.04

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Solution

The fourth proportional to 283.72, 425.30 and 215.04 is: 322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.72 : 425.30 = 215.04 : x
  2. Step 2: Convert to fraction form
    283.72/425.30 = 215.04/x
  3. Step 3: Cross multiply
    283.72x = 425.30 × 215.04
  4. Step 4: Simplify right side
    283.72x = 91,456.51
  5. Step 5: Solve for x
    x = 91,456.51/283.72
  6. Step 6: Final answer
    x = 322.35

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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.