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Finding the Fourth Proportional to 738.62, 1,107.89 and 305.47

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Solution

The fourth proportional to 738.62, 1,107.89 and 305.47 is: 458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.62 : 1,107.89 = 305.47 : x
  2. Step 2: Convert to fraction form
    738.62/1,107.89 = 305.47/x
  3. Step 3: Cross multiply
    738.62x = 1,107.89 × 305.47
  4. Step 4: Simplify right side
    738.62x = 338,427.16
  5. Step 5: Solve for x
    x = 338,427.16/738.62
  6. Step 6: Final answer
    x = 458.19

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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.