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Finding the Fourth Proportional to 498.59, 746.29 and 377.09

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Solution

The fourth proportional to 498.59, 746.29 and 377.09 is: 564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.59 : 746.29 = 377.09 : x
  2. Step 2: Convert to fraction form
    498.59/746.29 = 377.09/x
  3. Step 3: Cross multiply
    498.59x = 746.29 × 377.09
  4. Step 4: Simplify right side
    498.59x = 281,412.88
  5. Step 5: Solve for x
    x = 281,412.88/498.59
  6. Step 6: Final answer
    x = 564.42

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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.