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Finding the Fourth Proportional to 743.38, 1,115.07 and 332.53

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Solution

The fourth proportional to 743.38, 1,115.07 and 332.53 is: 498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.38 : 1,115.07 = 332.53 : x
  2. Step 2: Convert to fraction form
    743.38/1,115.07 = 332.53/x
  3. Step 3: Cross multiply
    743.38x = 1,115.07 × 332.53
  4. Step 4: Simplify right side
    743.38x = 370,794.23
  5. Step 5: Solve for x
    x = 370,794.23/743.38
  6. Step 6: Final answer
    x = 498.80

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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.