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Finding the Fourth Proportional to 716.72, 1,074.44 and 305.36

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Solution

The fourth proportional to 716.72, 1,074.44 and 305.36 is: 457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.72 : 1,074.44 = 305.36 : x
  2. Step 2: Convert to fraction form
    716.72/1,074.44 = 305.36/x
  3. Step 3: Cross multiply
    716.72x = 1,074.44 × 305.36
  4. Step 4: Simplify right side
    716.72x = 328,091.00
  5. Step 5: Solve for x
    x = 328,091.00/716.72
  6. Step 6: Final answer
    x = 457.77

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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.