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Finding the Fourth Proportional to 617.74, 926.36 and 275.50

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Solution

The fourth proportional to 617.74, 926.36 and 275.50 is: 413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.74 : 926.36 = 275.50 : x
  2. Step 2: Convert to fraction form
    617.74/926.36 = 275.50/x
  3. Step 3: Cross multiply
    617.74x = 926.36 × 275.50
  4. Step 4: Simplify right side
    617.74x = 255,212.18
  5. Step 5: Solve for x
    x = 255,212.18/617.74
  6. Step 6: Final answer
    x = 413.14

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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.