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Finding the Fourth Proportional to 325.70, 450.33 and 284.71

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Solution

The fourth proportional to 325.70, 450.33 and 284.71 is: 393.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.70 : 450.33 = 284.71 : x
  2. Step 2: Convert to fraction form
    325.70/450.33 = 284.71/x
  3. Step 3: Cross multiply
    325.70x = 450.33 × 284.71
  4. Step 4: Simplify right side
    325.70x = 128,213.45
  5. Step 5: Solve for x
    x = 128,213.45/325.70
  6. Step 6: Final answer
    x = 393.66

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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.