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Finding the Fourth Proportional to 293.13, 438.62 and 257.49

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Solution

The fourth proportional to 293.13, 438.62 and 257.49 is: 385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.13 : 438.62 = 257.49 : x
  2. Step 2: Convert to fraction form
    293.13/438.62 = 257.49/x
  3. Step 3: Cross multiply
    293.13x = 438.62 × 257.49
  4. Step 4: Simplify right side
    293.13x = 112,938.98
  5. Step 5: Solve for x
    x = 112,938.98/293.13
  6. Step 6: Final answer
    x = 385.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.