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Finding the Fourth Proportional to 716.02, 1,074.17 and 228.94

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Solution

The fourth proportional to 716.02, 1,074.17 and 228.94 is: 343.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.02 : 1,074.17 = 228.94 : x
  2. Step 2: Convert to fraction form
    716.02/1,074.17 = 228.94/x
  3. Step 3: Cross multiply
    716.02x = 1,074.17 × 228.94
  4. Step 4: Simplify right side
    716.02x = 245,919.34
  5. Step 5: Solve for x
    x = 245,919.34/716.02
  6. Step 6: Final answer
    x = 343.45

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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.