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Finding the Fourth Proportional to 538.65, 808.24 and 469.37

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Solution

The fourth proportional to 538.65, 808.24 and 469.37 is: 704.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.65 : 808.24 = 469.37 : x
  2. Step 2: Convert to fraction form
    538.65/808.24 = 469.37/x
  3. Step 3: Cross multiply
    538.65x = 808.24 × 469.37
  4. Step 4: Simplify right side
    538.65x = 379,363.61
  5. Step 5: Solve for x
    x = 379,363.61/538.65
  6. Step 6: Final answer
    x = 704.29

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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.