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Finding the Fourth Proportional to 470.59, 705.23 and 177.79

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Solution

The fourth proportional to 470.59, 705.23 and 177.79 is: 266.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.59 : 705.23 = 177.79 : x
  2. Step 2: Convert to fraction form
    470.59/705.23 = 177.79/x
  3. Step 3: Cross multiply
    470.59x = 705.23 × 177.79
  4. Step 4: Simplify right side
    470.59x = 125,383.29
  5. Step 5: Solve for x
    x = 125,383.29/470.59
  6. Step 6: Final answer
    x = 266.44

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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.