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Finding the Fourth Proportional to 589.76, 885.17 and 492.86

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Solution

The fourth proportional to 589.76, 885.17 and 492.86 is: 739.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.76 : 885.17 = 492.86 : x
  2. Step 2: Convert to fraction form
    589.76/885.17 = 492.86/x
  3. Step 3: Cross multiply
    589.76x = 885.17 × 492.86
  4. Step 4: Simplify right side
    589.76x = 436,258.00
  5. Step 5: Solve for x
    x = 436,258.00/589.76
  6. Step 6: Final answer
    x = 739.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.