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Finding the Fourth Proportional to 648.74, 972.09 and 404.90

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Solution

The fourth proportional to 648.74, 972.09 and 404.90 is: 606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.74 : 972.09 = 404.90 : x
  2. Step 2: Convert to fraction form
    648.74/972.09 = 404.90/x
  3. Step 3: Cross multiply
    648.74x = 972.09 × 404.90
  4. Step 4: Simplify right side
    648.74x = 393,599.24
  5. Step 5: Solve for x
    x = 393,599.24/648.74
  6. Step 6: Final answer
    x = 606.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.