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Finding the Fourth Proportional to 413.02, 619.33 and 152.94

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Solution

The fourth proportional to 413.02, 619.33 and 152.94 is: 229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.02 : 619.33 = 152.94 : x
  2. Step 2: Convert to fraction form
    413.02/619.33 = 152.94/x
  3. Step 3: Cross multiply
    413.02x = 619.33 × 152.94
  4. Step 4: Simplify right side
    413.02x = 94,720.33
  5. Step 5: Solve for x
    x = 94,720.33/413.02
  6. Step 6: Final answer
    x = 229.34

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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.