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Finding the Fourth Proportional to 469.74, 648.66 and 293.01

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Solution

The fourth proportional to 469.74, 648.66 and 293.01 is: 404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.74 : 648.66 = 293.01 : x
  2. Step 2: Convert to fraction form
    469.74/648.66 = 293.01/x
  3. Step 3: Cross multiply
    469.74x = 648.66 × 293.01
  4. Step 4: Simplify right side
    469.74x = 190,063.87
  5. Step 5: Solve for x
    x = 190,063.87/469.74
  6. Step 6: Final answer
    x = 404.62

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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.