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Finding the Fourth Proportional to 859.71, 1,289.58 and 372.22

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Solution

The fourth proportional to 859.71, 1,289.58 and 372.22 is: 558.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.71 : 1,289.58 = 372.22 : x
  2. Step 2: Convert to fraction form
    859.71/1,289.58 = 372.22/x
  3. Step 3: Cross multiply
    859.71x = 1,289.58 × 372.22
  4. Step 4: Simplify right side
    859.71x = 480,007.47
  5. Step 5: Solve for x
    x = 480,007.47/859.71
  6. Step 6: Final answer
    x = 558.34

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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.