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Finding the Fourth Proportional to 607.43, 911.34 and 498.93

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Solution

The fourth proportional to 607.43, 911.34 and 498.93 is: 748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.43 : 911.34 = 498.93 : x
  2. Step 2: Convert to fraction form
    607.43/911.34 = 498.93/x
  3. Step 3: Cross multiply
    607.43x = 911.34 × 498.93
  4. Step 4: Simplify right side
    607.43x = 454,694.87
  5. Step 5: Solve for x
    x = 454,694.87/607.43
  6. Step 6: Final answer
    x = 748.56

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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.