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Finding the Fourth Proportional to 520.34, 780.63 and 155.16

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Solution

The fourth proportional to 520.34, 780.63 and 155.16 is: 232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.34 : 780.63 = 155.16 : x
  2. Step 2: Convert to fraction form
    520.34/780.63 = 155.16/x
  3. Step 3: Cross multiply
    520.34x = 780.63 × 155.16
  4. Step 4: Simplify right side
    520.34x = 121,122.55
  5. Step 5: Solve for x
    x = 121,122.55/520.34
  6. Step 6: Final answer
    x = 232.78

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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.