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Finding the Fourth Proportional to 456.88, 686.08 and 274.64

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Solution

The fourth proportional to 456.88, 686.08 and 274.64 is: 412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.88 : 686.08 = 274.64 : x
  2. Step 2: Convert to fraction form
    456.88/686.08 = 274.64/x
  3. Step 3: Cross multiply
    456.88x = 686.08 × 274.64
  4. Step 4: Simplify right side
    456.88x = 188,425.01
  5. Step 5: Solve for x
    x = 188,425.01/456.88
  6. Step 6: Final answer
    x = 412.42

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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.