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Finding the Fourth Proportional to 618.93, 929.07 and 413.94

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Solution

The fourth proportional to 618.93, 929.07 and 413.94 is: 621.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.93 : 929.07 = 413.94 : x
  2. Step 2: Convert to fraction form
    618.93/929.07 = 413.94/x
  3. Step 3: Cross multiply
    618.93x = 929.07 × 413.94
  4. Step 4: Simplify right side
    618.93x = 384,579.24
  5. Step 5: Solve for x
    x = 384,579.24/618.93
  6. Step 6: Final answer
    x = 621.36

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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.