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Finding the Fourth Proportional to 617.93, 926.93 and 252.77

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Solution

The fourth proportional to 617.93, 926.93 and 252.77 is: 379.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.93 : 926.93 = 252.77 : x
  2. Step 2: Convert to fraction form
    617.93/926.93 = 252.77/x
  3. Step 3: Cross multiply
    617.93x = 926.93 × 252.77
  4. Step 4: Simplify right side
    617.93x = 234,300.10
  5. Step 5: Solve for x
    x = 234,300.10/617.93
  6. Step 6: Final answer
    x = 379.17

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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.