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Finding the Fourth Proportional to 500, 690.06 and 293

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Solution

The fourth proportional to 500, 690.06 and 293 is: 404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    500 : 690.06 = 293 : x
  2. Step 2: Convert to fraction form
    500/690.06 = 293/x
  3. Step 3: Cross multiply
    500x = 690.06 × 293
  4. Step 4: Simplify right side
    500x = 202,187.58
  5. Step 5: Solve for x
    x = 202,187.58/500
  6. Step 6: Final answer
    x = 404.38

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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.