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Finding the Fourth Proportional to 294.01, 438.39 and 263.23

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Solution

The fourth proportional to 294.01, 438.39 and 263.23 is: 392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.01 : 438.39 = 263.23 : x
  2. Step 2: Convert to fraction form
    294.01/438.39 = 263.23/x
  3. Step 3: Cross multiply
    294.01x = 438.39 × 263.23
  4. Step 4: Simplify right side
    294.01x = 115,396.30
  5. Step 5: Solve for x
    x = 115,396.30/294.01
  6. Step 6: Final answer
    x = 392.49

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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.