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Finding the Fourth Proportional to 520.46, 780.80 and 155.24

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Solution

The fourth proportional to 520.46, 780.80 and 155.24 is: 232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.46 : 780.80 = 155.24 : x
  2. Step 2: Convert to fraction form
    520.46/780.80 = 155.24/x
  3. Step 3: Cross multiply
    520.46x = 780.80 × 155.24
  4. Step 4: Simplify right side
    520.46x = 121,211.39
  5. Step 5: Solve for x
    x = 121,211.39/520.46
  6. Step 6: Final answer
    x = 232.89

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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.