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Finding the Fourth Proportional to 520.75, 781.25 and 155.53

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Solution

The fourth proportional to 520.75, 781.25 and 155.53 is: 233.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.75 : 781.25 = 155.53 : x
  2. Step 2: Convert to fraction form
    520.75/781.25 = 155.53/x
  3. Step 3: Cross multiply
    520.75x = 781.25 × 155.53
  4. Step 4: Simplify right side
    520.75x = 121,509.11
  5. Step 5: Solve for x
    x = 121,509.11/520.75
  6. Step 6: Final answer
    x = 233.33

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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.