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Finding the Fourth Proportional to 303.10, 415.54 and 297.63

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Solution

The fourth proportional to 303.10, 415.54 and 297.63 is: 408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.10 : 415.54 = 297.63 : x
  2. Step 2: Convert to fraction form
    303.10/415.54 = 297.63/x
  3. Step 3: Cross multiply
    303.10x = 415.54 × 297.63
  4. Step 4: Simplify right side
    303.10x = 123,677.54
  5. Step 5: Solve for x
    x = 123,677.54/303.10
  6. Step 6: Final answer
    x = 408.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.