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Finding the Fourth Proportional to 873.11, 1,308.95 and 359.75

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Solution

The fourth proportional to 873.11, 1,308.95 and 359.75 is: 539.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.11 : 1,308.95 = 359.75 : x
  2. Step 2: Convert to fraction form
    873.11/1,308.95 = 359.75/x
  3. Step 3: Cross multiply
    873.11x = 1,308.95 × 359.75
  4. Step 4: Simplify right side
    873.11x = 470,892.96
  5. Step 5: Solve for x
    x = 470,892.96/873.11
  6. Step 6: Final answer
    x = 539.33

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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.