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Finding the Fourth Proportional to 519.56, 777.89 and 391.40

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Solution

The fourth proportional to 519.56, 777.89 and 391.40 is: 586.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.56 : 777.89 = 391.40 : x
  2. Step 2: Convert to fraction form
    519.56/777.89 = 391.40/x
  3. Step 3: Cross multiply
    519.56x = 777.89 × 391.40
  4. Step 4: Simplify right side
    519.56x = 304,464.19
  5. Step 5: Solve for x
    x = 304,464.19/519.56
  6. Step 6: Final answer
    x = 586.00

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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.