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Finding the Fourth Proportional to 413.76, 619.14 and 316.08

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Solution

The fourth proportional to 413.76, 619.14 and 316.08 is: 472.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.76 : 619.14 = 316.08 : x
  2. Step 2: Convert to fraction form
    413.76/619.14 = 316.08/x
  3. Step 3: Cross multiply
    413.76x = 619.14 × 316.08
  4. Step 4: Simplify right side
    413.76x = 195,697.77
  5. Step 5: Solve for x
    x = 195,697.77/413.76
  6. Step 6: Final answer
    x = 472.97

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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.