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Finding the Fourth Proportional to 738.59, 1,107.94 and 305.75

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Solution

The fourth proportional to 738.59, 1,107.94 and 305.75 is: 458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.59 : 1,107.94 = 305.75 : x
  2. Step 2: Convert to fraction form
    738.59/1,107.94 = 305.75/x
  3. Step 3: Cross multiply
    738.59x = 1,107.94 × 305.75
  4. Step 4: Simplify right side
    738.59x = 338,752.66
  5. Step 5: Solve for x
    x = 338,752.66/738.59
  6. Step 6: Final answer
    x = 458.65

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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.