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Finding the Fourth Proportional to 470.49, 705.74 and 123.80

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Solution

The fourth proportional to 470.49, 705.74 and 123.80 is: 185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.49 : 705.74 = 123.80 : x
  2. Step 2: Convert to fraction form
    470.49/705.74 = 123.80/x
  3. Step 3: Cross multiply
    470.49x = 705.74 × 123.80
  4. Step 4: Simplify right side
    470.49x = 87,366.46
  5. Step 5: Solve for x
    x = 87,366.46/470.49
  6. Step 6: Final answer
    x = 185.69

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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.