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Finding the Fourth Proportional to 520.65, 781.02 and 174.06

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Solution

The fourth proportional to 520.65, 781.02 and 174.06 is: 261.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.65 : 781.02 = 174.06 : x
  2. Step 2: Convert to fraction form
    520.65/781.02 = 174.06/x
  3. Step 3: Cross multiply
    520.65x = 781.02 × 174.06
  4. Step 4: Simplify right side
    520.65x = 135,944.34
  5. Step 5: Solve for x
    x = 135,944.34/520.65
  6. Step 6: Final answer
    x = 261.11

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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.