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Finding the Fourth Proportional to 470.09, 705.19 and 275.39

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Solution

The fourth proportional to 470.09, 705.19 and 275.39 is: 413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.09 : 705.19 = 275.39 : x
  2. Step 2: Convert to fraction form
    470.09/705.19 = 275.39/x
  3. Step 3: Cross multiply
    470.09x = 705.19 × 275.39
  4. Step 4: Simplify right side
    470.09x = 194,202.27
  5. Step 5: Solve for x
    x = 194,202.27/470.09
  6. Step 6: Final answer
    x = 413.12

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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.