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Finding the Fourth Proportional to 519.96, 777.87 and 357.15

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Solution

The fourth proportional to 519.96, 777.87 and 357.15 is: 534.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.96 : 777.87 = 357.15 : x
  2. Step 2: Convert to fraction form
    519.96/777.87 = 357.15/x
  3. Step 3: Cross multiply
    519.96x = 777.87 × 357.15
  4. Step 4: Simplify right side
    519.96x = 277,816.27
  5. Step 5: Solve for x
    x = 277,816.27/519.96
  6. Step 6: Final answer
    x = 534.30

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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.