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Finding the Fourth Proportional to 413.06, 618.15 and 315.14

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Solution

The fourth proportional to 413.06, 618.15 and 315.14 is: 471.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.06 : 618.15 = 315.14 : x
  2. Step 2: Convert to fraction form
    413.06/618.15 = 315.14/x
  3. Step 3: Cross multiply
    413.06x = 618.15 × 315.14
  4. Step 4: Simplify right side
    413.06x = 194,803.79
  5. Step 5: Solve for x
    x = 194,803.79/413.06
  6. Step 6: Final answer
    x = 471.61

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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.