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Finding the Fourth Proportional to 586.31, 878.31 and 519.35

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Solution

The fourth proportional to 586.31, 878.31 and 519.35 is: 778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.31 : 878.31 = 519.35 : x
  2. Step 2: Convert to fraction form
    586.31/878.31 = 519.35/x
  3. Step 3: Cross multiply
    586.31x = 878.31 × 519.35
  4. Step 4: Simplify right side
    586.31x = 456,145.91
  5. Step 5: Solve for x
    x = 456,145.91/586.31
  6. Step 6: Final answer
    x = 778.00

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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.