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Finding the Fourth Proportional to 284.87, 392.93 and 232.41

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Solution

The fourth proportional to 284.87, 392.93 and 232.41 is: 320.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.87 : 392.93 = 232.41 : x
  2. Step 2: Convert to fraction form
    284.87/392.93 = 232.41/x
  3. Step 3: Cross multiply
    284.87x = 392.93 × 232.41
  4. Step 4: Simplify right side
    284.87x = 91,319.70
  5. Step 5: Solve for x
    x = 91,319.70/284.87
  6. Step 6: Final answer
    x = 320.57

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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.