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Finding the Fourth Proportional to 738.47, 1,107.64 and 348.38

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Solution

The fourth proportional to 738.47, 1,107.64 and 348.38 is: 522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.47 : 1,107.64 = 348.38 : x
  2. Step 2: Convert to fraction form
    738.47/1,107.64 = 348.38/x
  3. Step 3: Cross multiply
    738.47x = 1,107.64 × 348.38
  4. Step 4: Simplify right side
    738.47x = 385,879.62
  5. Step 5: Solve for x
    x = 385,879.62/738.47
  6. Step 6: Final answer
    x = 522.54

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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.