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Finding the Fourth Proportional to 434.66, 652.17 and 413.96

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Solution

The fourth proportional to 434.66, 652.17 and 413.96 is: 621.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.66 : 652.17 = 413.96 : x
  2. Step 2: Convert to fraction form
    434.66/652.17 = 413.96/x
  3. Step 3: Cross multiply
    434.66x = 652.17 × 413.96
  4. Step 4: Simplify right side
    434.66x = 269,972.29
  5. Step 5: Solve for x
    x = 269,972.29/434.66
  6. Step 6: Final answer
    x = 621.11

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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.