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Finding the Fourth Proportional to 256.59, 383.63 and 218.52

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Solution

The fourth proportional to 256.59, 383.63 and 218.52 is: 326.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.59 : 383.63 = 218.52 : x
  2. Step 2: Convert to fraction form
    256.59/383.63 = 218.52/x
  3. Step 3: Cross multiply
    256.59x = 383.63 × 218.52
  4. Step 4: Simplify right side
    256.59x = 83,829.74
  5. Step 5: Solve for x
    x = 83,829.74/256.59
  6. Step 6: Final answer
    x = 326.71

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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.