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Finding the Fourth Proportional to 499, 743.54 and 444.48

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Solution

The fourth proportional to 499, 743.54 and 444.48 is: 662.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    499 : 743.54 = 444.48 : x
  2. Step 2: Convert to fraction form
    499/743.54 = 444.48/x
  3. Step 3: Cross multiply
    499x = 743.54 × 444.48
  4. Step 4: Simplify right side
    499x = 330,484.94
  5. Step 5: Solve for x
    x = 330,484.94/499
  6. Step 6: Final answer
    x = 662.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.