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Finding the Fourth Proportional to 297.40, 443.05 and 294.16

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Solution

The fourth proportional to 297.40, 443.05 and 294.16 is: 438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.40 : 443.05 = 294.16 : x
  2. Step 2: Convert to fraction form
    297.40/443.05 = 294.16/x
  3. Step 3: Cross multiply
    297.40x = 443.05 × 294.16
  4. Step 4: Simplify right side
    297.40x = 130,326.30
  5. Step 5: Solve for x
    x = 130,326.30/297.40
  6. Step 6: Final answer
    x = 438.22

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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.