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Finding the Fourth Proportional to 472.05, 651.17 and 297.09

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Solution

The fourth proportional to 472.05, 651.17 and 297.09 is: 409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.05 : 651.17 = 297.09 : x
  2. Step 2: Convert to fraction form
    472.05/651.17 = 297.09/x
  3. Step 3: Cross multiply
    472.05x = 651.17 × 297.09
  4. Step 4: Simplify right side
    472.05x = 193,454.61
  5. Step 5: Solve for x
    x = 193,454.61/472.05
  6. Step 6: Final answer
    x = 409.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.