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Finding the Fourth Proportional to 413.13, 617.85 and 314.51

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Solution

The fourth proportional to 413.13, 617.85 and 314.51 is: 470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.13 : 617.85 = 314.51 : x
  2. Step 2: Convert to fraction form
    413.13/617.85 = 314.51/x
  3. Step 3: Cross multiply
    413.13x = 617.85 × 314.51
  4. Step 4: Simplify right side
    413.13x = 194,316.91
  5. Step 5: Solve for x
    x = 194,316.91/413.13
  6. Step 6: Final answer
    x = 470.35

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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.