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Finding the Fourth Proportional to 484.56, 669.12 and 310.20

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Solution

The fourth proportional to 484.56, 669.12 and 310.20 is: 428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.56 : 669.12 = 310.20 : x
  2. Step 2: Convert to fraction form
    484.56/669.12 = 310.20/x
  3. Step 3: Cross multiply
    484.56x = 669.12 × 310.20
  4. Step 4: Simplify right side
    484.56x = 207,561.02
  5. Step 5: Solve for x
    x = 207,561.02/484.56
  6. Step 6: Final answer
    x = 428.35

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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.