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Finding the Fourth Proportional to 496.86, 745.29 and 208.10

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Solution

The fourth proportional to 496.86, 745.29 and 208.10 is: 312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.86 : 745.29 = 208.10 : x
  2. Step 2: Convert to fraction form
    496.86/745.29 = 208.10/x
  3. Step 3: Cross multiply
    496.86x = 745.29 × 208.10
  4. Step 4: Simplify right side
    496.86x = 155,091.12
  5. Step 5: Solve for x
    x = 155,091.12/496.86
  6. Step 6: Final answer
    x = 312.14

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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.