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Finding the Fourth Proportional to 500.28, 690.42 and 293.28

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Solution

The fourth proportional to 500.28, 690.42 and 293.28 is: 404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.28 : 690.42 = 293.28 : x
  2. Step 2: Convert to fraction form
    500.28/690.42 = 293.28/x
  3. Step 3: Cross multiply
    500.28x = 690.42 × 293.28
  4. Step 4: Simplify right side
    500.28x = 202,486.38
  5. Step 5: Solve for x
    x = 202,486.38/500.28
  6. Step 6: Final answer
    x = 404.75

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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.