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Finding the Fourth Proportional to 508.23, 762.47 and 215.74

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Solution

The fourth proportional to 508.23, 762.47 and 215.74 is: 323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.23 : 762.47 = 215.74 : x
  2. Step 2: Convert to fraction form
    508.23/762.47 = 215.74/x
  3. Step 3: Cross multiply
    508.23x = 762.47 × 215.74
  4. Step 4: Simplify right side
    508.23x = 164,493.91
  5. Step 5: Solve for x
    x = 164,493.91/508.23
  6. Step 6: Final answer
    x = 323.66

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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.