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Finding the Fourth Proportional to 519.94, 780.02 and 154.72

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Solution

The fourth proportional to 519.94, 780.02 and 154.72 is: 232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.94 : 780.02 = 154.72 : x
  2. Step 2: Convert to fraction form
    519.94/780.02 = 154.72/x
  3. Step 3: Cross multiply
    519.94x = 780.02 × 154.72
  4. Step 4: Simplify right side
    519.94x = 120,684.69
  5. Step 5: Solve for x
    x = 120,684.69/519.94
  6. Step 6: Final answer
    x = 232.11

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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.