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Finding the Fourth Proportional to 738.46, 1,107.71 and 305.35

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Solution

The fourth proportional to 738.46, 1,107.71 and 305.35 is: 458.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.46 : 1,107.71 = 305.35 : x
  2. Step 2: Convert to fraction form
    738.46/1,107.71 = 305.35/x
  3. Step 3: Cross multiply
    738.46x = 1,107.71 × 305.35
  4. Step 4: Simplify right side
    738.46x = 338,239.25
  5. Step 5: Solve for x
    x = 338,239.25/738.46
  6. Step 6: Final answer
    x = 458.03

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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.