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Finding the Fourth Proportional to 284.58, 391.65 and 258.41

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Solution

The fourth proportional to 284.58, 391.65 and 258.41 is: 355.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.58 : 391.65 = 258.41 : x
  2. Step 2: Convert to fraction form
    284.58/391.65 = 258.41/x
  3. Step 3: Cross multiply
    284.58x = 391.65 × 258.41
  4. Step 4: Simplify right side
    284.58x = 101,205.55
  5. Step 5: Solve for x
    x = 101,205.55/284.58
  6. Step 6: Final answer
    x = 355.63

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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.