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Finding the Fourth Proportional to 293.04, 437.22 and 257.04

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Solution

The fourth proportional to 293.04, 437.22 and 257.04 is: 383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.04 : 437.22 = 257.04 : x
  2. Step 2: Convert to fraction form
    293.04/437.22 = 257.04/x
  3. Step 3: Cross multiply
    293.04x = 437.22 × 257.04
  4. Step 4: Simplify right side
    293.04x = 112,383.03
  5. Step 5: Solve for x
    x = 112,383.03/293.04
  6. Step 6: Final answer
    x = 383.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.