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Finding the Fourth Proportional to 500.73, 690.96 and 301.57

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Solution

The fourth proportional to 500.73, 690.96 and 301.57 is: 416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.73 : 690.96 = 301.57 : x
  2. Step 2: Convert to fraction form
    500.73/690.96 = 301.57/x
  3. Step 3: Cross multiply
    500.73x = 690.96 × 301.57
  4. Step 4: Simplify right side
    500.73x = 208,371.08
  5. Step 5: Solve for x
    x = 208,371.08/500.73
  6. Step 6: Final answer
    x = 416.13

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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.