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Finding the Fourth Proportional to 733.25, 1,099.47 and 332.51

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Solution

The fourth proportional to 733.25, 1,099.47 and 332.51 is: 498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.25 : 1,099.47 = 332.51 : x
  2. Step 2: Convert to fraction form
    733.25/1,099.47 = 332.51/x
  3. Step 3: Cross multiply
    733.25x = 1,099.47 × 332.51
  4. Step 4: Simplify right side
    733.25x = 365,580.52
  5. Step 5: Solve for x
    x = 365,580.52/733.25
  6. Step 6: Final answer
    x = 498.57

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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.