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Finding the Fourth Proportional to 456.75, 686.16 and 274.28

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Solution

The fourth proportional to 456.75, 686.16 and 274.28 is: 412.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.75 : 686.16 = 274.28 : x
  2. Step 2: Convert to fraction form
    456.75/686.16 = 274.28/x
  3. Step 3: Cross multiply
    456.75x = 686.16 × 274.28
  4. Step 4: Simplify right side
    456.75x = 188,196.53
  5. Step 5: Solve for x
    x = 188,196.53/456.75
  6. Step 6: Final answer
    x = 412.03

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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.