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Finding the Fourth Proportional to 520.05, 780.11 and 154.88

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Solution

The fourth proportional to 520.05, 780.11 and 154.88 is: 232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.05 : 780.11 = 154.88 : x
  2. Step 2: Convert to fraction form
    520.05/780.11 = 154.88/x
  3. Step 3: Cross multiply
    520.05x = 780.11 × 154.88
  4. Step 4: Simplify right side
    520.05x = 120,818.76
  5. Step 5: Solve for x
    x = 120,818.76/520.05
  6. Step 6: Final answer
    x = 232.32

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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.