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Finding the Fourth Proportional to 500.73, 689.40 and 441.66

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Solution

The fourth proportional to 500.73, 689.40 and 441.66 is: 608.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.73 : 689.40 = 441.66 : x
  2. Step 2: Convert to fraction form
    500.73/689.40 = 441.66/x
  3. Step 3: Cross multiply
    500.73x = 689.40 × 441.66
  4. Step 4: Simplify right side
    500.73x = 304,480.40
  5. Step 5: Solve for x
    x = 304,480.40/500.73
  6. Step 6: Final answer
    x = 608.07

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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.