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Finding the Fourth Proportional to 591.19, 886.14 and 453.88

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Solution

The fourth proportional to 591.19, 886.14 and 453.88 is: 680.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.19 : 886.14 = 453.88 : x
  2. Step 2: Convert to fraction form
    591.19/886.14 = 453.88/x
  3. Step 3: Cross multiply
    591.19x = 886.14 × 453.88
  4. Step 4: Simplify right side
    591.19x = 402,201.22
  5. Step 5: Solve for x
    x = 402,201.22/591.19
  6. Step 6: Final answer
    x = 680.32

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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.