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Finding the Fourth Proportional to 617.57, 926.28 and 184.76

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Solution

The fourth proportional to 617.57, 926.28 and 184.76 is: 277.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.57 : 926.28 = 184.76 : x
  2. Step 2: Convert to fraction form
    617.57/926.28 = 184.76/x
  3. Step 3: Cross multiply
    617.57x = 926.28 × 184.76
  4. Step 4: Simplify right side
    617.57x = 171,134.86
  5. Step 5: Solve for x
    x = 171,134.86/617.57
  6. Step 6: Final answer
    x = 277.11

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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.