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Finding the Fourth Proportional to 498.30, 745.83 and 351.96

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Solution

The fourth proportional to 498.30, 745.83 and 351.96 is: 526.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.30 : 745.83 = 351.96 : x
  2. Step 2: Convert to fraction form
    498.30/745.83 = 351.96/x
  3. Step 3: Cross multiply
    498.30x = 745.83 × 351.96
  4. Step 4: Simplify right side
    498.30x = 262,502.33
  5. Step 5: Solve for x
    x = 262,502.33/498.30
  6. Step 6: Final answer
    x = 526.80

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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.