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Finding the Fourth Proportional to 375.92, 519.72 and 277.52

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Solution

The fourth proportional to 375.92, 519.72 and 277.52 is: 383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.92 : 519.72 = 277.52 : x
  2. Step 2: Convert to fraction form
    375.92/519.72 = 277.52/x
  3. Step 3: Cross multiply
    375.92x = 519.72 × 277.52
  4. Step 4: Simplify right side
    375.92x = 144,232.69
  5. Step 5: Solve for x
    x = 144,232.69/375.92
  6. Step 6: Final answer
    x = 383.68

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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.