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Finding the Fourth Proportional to 538.96, 743.80 and 383.76

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Solution

The fourth proportional to 538.96, 743.80 and 383.76 is: 529.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.96 : 743.80 = 383.76 : x
  2. Step 2: Convert to fraction form
    538.96/743.80 = 383.76/x
  3. Step 3: Cross multiply
    538.96x = 743.80 × 383.76
  4. Step 4: Simplify right side
    538.96x = 285,440.69
  5. Step 5: Solve for x
    x = 285,440.69/538.96
  6. Step 6: Final answer
    x = 529.61

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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.