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Finding the Fourth Proportional to 520.14, 780.42 and 285.96

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Solution

The fourth proportional to 520.14, 780.42 and 285.96 is: 429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.14 : 780.42 = 285.96 : x
  2. Step 2: Convert to fraction form
    520.14/780.42 = 285.96/x
  3. Step 3: Cross multiply
    520.14x = 780.42 × 285.96
  4. Step 4: Simplify right side
    520.14x = 223,168.90
  5. Step 5: Solve for x
    x = 223,168.90/520.14
  6. Step 6: Final answer
    x = 429.06

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Why These Related Problems?

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