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Finding the Fourth Proportional to 470.30, 706.05 and 275.49

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Solution

The fourth proportional to 470.30, 706.05 and 275.49 is: 413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.30 : 706.05 = 275.49 : x
  2. Step 2: Convert to fraction form
    470.30/706.05 = 275.49/x
  3. Step 3: Cross multiply
    470.30x = 706.05 × 275.49
  4. Step 4: Simplify right side
    470.30x = 194,509.71
  5. Step 5: Solve for x
    x = 194,509.71/470.30
  6. Step 6: Final answer
    x = 413.59

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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.