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Finding the Fourth Proportional to 717.08, 1,074.71 and 305.80

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Solution

The fourth proportional to 717.08, 1,074.71 and 305.80 is: 458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.08 : 1,074.71 = 305.80 : x
  2. Step 2: Convert to fraction form
    717.08/1,074.71 = 305.80/x
  3. Step 3: Cross multiply
    717.08x = 1,074.71 × 305.80
  4. Step 4: Simplify right side
    717.08x = 328,645.27
  5. Step 5: Solve for x
    x = 328,645.27/717.08
  6. Step 6: Final answer
    x = 458.31

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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.