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Finding the Fourth Proportional to 605.66, 909.33 and 497.12

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Solution

The fourth proportional to 605.66, 909.33 and 497.12 is: 746.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.66 : 909.33 = 497.12 : x
  2. Step 2: Convert to fraction form
    605.66/909.33 = 497.12/x
  3. Step 3: Cross multiply
    605.66x = 909.33 × 497.12
  4. Step 4: Simplify right side
    605.66x = 452,046.13
  5. Step 5: Solve for x
    x = 452,046.13/605.66
  6. Step 6: Final answer
    x = 746.37

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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.