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Finding the Fourth Proportional to 520.42, 780.54 and 173.96

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Solution

The fourth proportional to 520.42, 780.54 and 173.96 is: 260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.42 : 780.54 = 173.96 : x
  2. Step 2: Convert to fraction form
    520.42/780.54 = 173.96/x
  3. Step 3: Cross multiply
    520.42x = 780.54 × 173.96
  4. Step 4: Simplify right side
    520.42x = 135,782.74
  5. Step 5: Solve for x
    x = 135,782.74/520.42
  6. Step 6: Final answer
    x = 260.91

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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.