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Finding the Fourth Proportional to 519.97, 780.03 and 154.72

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Solution

The fourth proportional to 519.97, 780.03 and 154.72 is: 232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.97 : 780.03 = 154.72 : x
  2. Step 2: Convert to fraction form
    519.97/780.03 = 154.72/x
  3. Step 3: Cross multiply
    519.97x = 780.03 × 154.72
  4. Step 4: Simplify right side
    519.97x = 120,682.34
  5. Step 5: Solve for x
    x = 120,682.34/519.97
  6. Step 6: Final answer
    x = 232.10

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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.