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Finding the Fourth Proportional to 648.61, 972.91 and 301.83

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Solution

The fourth proportional to 648.61, 972.91 and 301.83 is: 452.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.61 : 972.91 = 301.83 : x
  2. Step 2: Convert to fraction form
    648.61/972.91 = 301.83/x
  3. Step 3: Cross multiply
    648.61x = 972.91 × 301.83
  4. Step 4: Simplify right side
    648.61x = 293,650.15
  5. Step 5: Solve for x
    x = 293,650.15/648.61
  6. Step 6: Final answer
    x = 452.74

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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.