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Finding the Fourth Proportional to 502.89, 693.93 and 293.00

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Solution

The fourth proportional to 502.89, 693.93 and 293.00 is: 404.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.89 : 693.93 = 293.00 : x
  2. Step 2: Convert to fraction form
    502.89/693.93 = 293.00/x
  3. Step 3: Cross multiply
    502.89x = 693.93 × 293.00
  4. Step 4: Simplify right side
    502.89x = 203,318.02
  5. Step 5: Solve for x
    x = 203,318.02/502.89
  6. Step 6: Final answer
    x = 404.30

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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.