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Finding the Fourth Proportional to 553.62, 829.86 and 306.56

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Solution

The fourth proportional to 553.62, 829.86 and 306.56 is: 459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.62 : 829.86 = 306.56 : x
  2. Step 2: Convert to fraction form
    553.62/829.86 = 306.56/x
  3. Step 3: Cross multiply
    553.62x = 829.86 × 306.56
  4. Step 4: Simplify right side
    553.62x = 254,397.73
  5. Step 5: Solve for x
    x = 254,397.73/553.62
  6. Step 6: Final answer
    x = 459.52

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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.