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Finding the Fourth Proportional to 520.95, 781.27 and 155.64

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Solution

The fourth proportional to 520.95, 781.27 and 155.64 is: 233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.95 : 781.27 = 155.64 : x
  2. Step 2: Convert to fraction form
    520.95/781.27 = 155.64/x
  3. Step 3: Cross multiply
    520.95x = 781.27 × 155.64
  4. Step 4: Simplify right side
    520.95x = 121,596.86
  5. Step 5: Solve for x
    x = 121,596.86/520.95
  6. Step 6: Final answer
    x = 233.41

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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.