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Finding the Fourth Proportional to 465.66, 694.43 and 413.21

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Solution

The fourth proportional to 465.66, 694.43 and 413.21 is: 616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.66 : 694.43 = 413.21 : x
  2. Step 2: Convert to fraction form
    465.66/694.43 = 413.21/x
  3. Step 3: Cross multiply
    465.66x = 694.43 × 413.21
  4. Step 4: Simplify right side
    465.66x = 286,946.64
  5. Step 5: Solve for x
    x = 286,946.64/465.66
  6. Step 6: Final answer
    x = 616.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.