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Finding the Fourth Proportional to 469.09, 647.49 and 294.54

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Solution

The fourth proportional to 469.09, 647.49 and 294.54 is: 406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.09 : 647.49 = 294.54 : x
  2. Step 2: Convert to fraction form
    469.09/647.49 = 294.54/x
  3. Step 3: Cross multiply
    469.09x = 647.49 × 294.54
  4. Step 4: Simplify right side
    469.09x = 190,711.70
  5. Step 5: Solve for x
    x = 190,711.70/469.09
  6. Step 6: Final answer
    x = 406.56

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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.