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Finding the Fourth Proportional to 591.81, 814.35 and 508.58

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Solution

The fourth proportional to 591.81, 814.35 and 508.58 is: 699.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.81 : 814.35 = 508.58 : x
  2. Step 2: Convert to fraction form
    591.81/814.35 = 508.58/x
  3. Step 3: Cross multiply
    591.81x = 814.35 × 508.58
  4. Step 4: Simplify right side
    591.81x = 414,163.01
  5. Step 5: Solve for x
    x = 414,163.01/591.81
  6. Step 6: Final answer
    x = 699.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.