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Finding the Fourth Proportional to 364.82, 544.83 and 324.50

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Solution

The fourth proportional to 364.82, 544.83 and 324.50 is: 484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.82 : 544.83 = 324.50 : x
  2. Step 2: Convert to fraction form
    364.82/544.83 = 324.50/x
  3. Step 3: Cross multiply
    364.82x = 544.83 × 324.50
  4. Step 4: Simplify right side
    364.82x = 176,795.71
  5. Step 5: Solve for x
    x = 176,795.71/364.82
  6. Step 6: Final answer
    x = 484.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.