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Finding the Fourth Proportional to 520.52, 780.59 and 173.77

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Solution

The fourth proportional to 520.52, 780.59 and 173.77 is: 260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.52 : 780.59 = 173.77 : x
  2. Step 2: Convert to fraction form
    520.52/780.59 = 173.77/x
  3. Step 3: Cross multiply
    520.52x = 780.59 × 173.77
  4. Step 4: Simplify right side
    520.52x = 135,641.61
  5. Step 5: Solve for x
    x = 135,641.61/520.52
  6. Step 6: Final answer
    x = 260.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.