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Finding the Fourth Proportional to 294.36, 438.09 and 293.44

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Solution

The fourth proportional to 294.36, 438.09 and 293.44 is: 436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.36 : 438.09 = 293.44 : x
  2. Step 2: Convert to fraction form
    294.36/438.09 = 293.44/x
  3. Step 3: Cross multiply
    294.36x = 438.09 × 293.44
  4. Step 4: Simplify right side
    294.36x = 128,553.13
  5. Step 5: Solve for x
    x = 128,553.13/294.36
  6. Step 6: Final answer
    x = 436.72

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