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Finding the Fourth Proportional to 484.92, 669.06 and 310.50

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Solution

The fourth proportional to 484.92, 669.06 and 310.50 is: 428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.92 : 669.06 = 310.50 : x
  2. Step 2: Convert to fraction form
    484.92/669.06 = 310.50/x
  3. Step 3: Cross multiply
    484.92x = 669.06 × 310.50
  4. Step 4: Simplify right side
    484.92x = 207,743.13
  5. Step 5: Solve for x
    x = 207,743.13/484.92
  6. Step 6: Final answer
    x = 428.41

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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.