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Finding the Fourth Proportional to 477.43, 714.22 and 413.13

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Solution

The fourth proportional to 477.43, 714.22 and 413.13 is: 618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.43 : 714.22 = 413.13 : x
  2. Step 2: Convert to fraction form
    477.43/714.22 = 413.13/x
  3. Step 3: Cross multiply
    477.43x = 714.22 × 413.13
  4. Step 4: Simplify right side
    477.43x = 295,065.71
  5. Step 5: Solve for x
    x = 295,065.71/477.43
  6. Step 6: Final answer
    x = 618.03

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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.