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Finding the Fourth Proportional to 508.22, 701.31 and 284.14

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Solution

The fourth proportional to 508.22, 701.31 and 284.14 is: 392.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.22 : 701.31 = 284.14 : x
  2. Step 2: Convert to fraction form
    508.22/701.31 = 284.14/x
  3. Step 3: Cross multiply
    508.22x = 701.31 × 284.14
  4. Step 4: Simplify right side
    508.22x = 199,270.22
  5. Step 5: Solve for x
    x = 199,270.22/508.22
  6. Step 6: Final answer
    x = 392.09

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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.