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Finding the Fourth Proportional to 293.04, 402.03 and 285.84

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Solution

The fourth proportional to 293.04, 402.03 and 285.84 is: 392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.04 : 402.03 = 285.84 : x
  2. Step 2: Convert to fraction form
    293.04/402.03 = 285.84/x
  3. Step 3: Cross multiply
    293.04x = 402.03 × 285.84
  4. Step 4: Simplify right side
    293.04x = 114,916.26
  5. Step 5: Solve for x
    x = 114,916.26/293.04
  6. Step 6: Final answer
    x = 392.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.