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Finding the Fourth Proportional to 553.39, 829.06 and 377.61

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Solution

The fourth proportional to 553.39, 829.06 and 377.61 is: 565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.39 : 829.06 = 377.61 : x
  2. Step 2: Convert to fraction form
    553.39/829.06 = 377.61/x
  3. Step 3: Cross multiply
    553.39x = 829.06 × 377.61
  4. Step 4: Simplify right side
    553.39x = 313,061.35
  5. Step 5: Solve for x
    x = 313,061.35/553.39
  6. Step 6: Final answer
    x = 565.72

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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.