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Finding the Fourth Proportional to 738.38, 1,019.01 and 423.64

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Solution

The fourth proportional to 738.38, 1,019.01 and 423.64 is: 584.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.38 : 1,019.01 = 423.64 : x
  2. Step 2: Convert to fraction form
    738.38/1,019.01 = 423.64/x
  3. Step 3: Cross multiply
    738.38x = 1,019.01 × 423.64
  4. Step 4: Simplify right side
    738.38x = 431,696.26
  5. Step 5: Solve for x
    x = 431,696.26/738.38
  6. Step 6: Final answer
    x = 584.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.