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Finding the Fourth Proportional to 605.52, 909.54 and 538.47

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Solution

The fourth proportional to 605.52, 909.54 and 538.47 is: 808.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.52 : 909.54 = 538.47 : x
  2. Step 2: Convert to fraction form
    605.52/909.54 = 538.47/x
  3. Step 3: Cross multiply
    605.52x = 909.54 × 538.47
  4. Step 4: Simplify right side
    605.52x = 489,760.00
  5. Step 5: Solve for x
    x = 489,760.00/605.52
  6. Step 6: Final answer
    x = 808.83

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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.