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Finding the Fourth Proportional to 618.77, 927.60 and 413.24

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Solution

The fourth proportional to 618.77, 927.60 and 413.24 is: 619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.77 : 927.60 = 413.24 : x
  2. Step 2: Convert to fraction form
    618.77/927.60 = 413.24/x
  3. Step 3: Cross multiply
    618.77x = 927.60 × 413.24
  4. Step 4: Simplify right side
    618.77x = 383,316.79
  5. Step 5: Solve for x
    x = 383,316.79/618.77
  6. Step 6: Final answer
    x = 619.49

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Double scale
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1.5x scale

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.