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Finding the Fourth Proportional to 470.36, 706.07 and 275.59

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Solution

The fourth proportional to 470.36, 706.07 and 275.59 is: 413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.36 : 706.07 = 275.59 : x
  2. Step 2: Convert to fraction form
    470.36/706.07 = 275.59/x
  3. Step 3: Cross multiply
    470.36x = 706.07 × 275.59
  4. Step 4: Simplify right side
    470.36x = 194,585.83
  5. Step 5: Solve for x
    x = 194,585.83/470.36
  6. Step 6: Final answer
    x = 413.70

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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.