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Finding the Fourth Proportional to 364.67, 546.91 and 249.10

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Solution

The fourth proportional to 364.67, 546.91 and 249.10 is: 373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.67 : 546.91 = 249.10 : x
  2. Step 2: Convert to fraction form
    364.67/546.91 = 249.10/x
  3. Step 3: Cross multiply
    364.67x = 546.91 × 249.10
  4. Step 4: Simplify right side
    364.67x = 136,234.23
  5. Step 5: Solve for x
    x = 136,234.23/364.67
  6. Step 6: Final answer
    x = 373.58

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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.