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Finding the Fourth Proportional to 470.32, 705.53 and 177.73

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Solution

The fourth proportional to 470.32, 705.53 and 177.73 is: 266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.32 : 705.53 = 177.73 : x
  2. Step 2: Convert to fraction form
    470.32/705.53 = 177.73/x
  3. Step 3: Cross multiply
    470.32x = 705.53 × 177.73
  4. Step 4: Simplify right side
    470.32x = 125,391.53
  5. Step 5: Solve for x
    x = 125,391.53/470.32
  6. Step 6: Final answer
    x = 266.61

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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.