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Finding the Fourth Proportional to 470.86, 705.80 and 239.23

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Solution

The fourth proportional to 470.86, 705.80 and 239.23 is: 358.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.86 : 705.80 = 239.23 : x
  2. Step 2: Convert to fraction form
    470.86/705.80 = 239.23/x
  3. Step 3: Cross multiply
    470.86x = 705.80 × 239.23
  4. Step 4: Simplify right side
    470.86x = 168,847.34
  5. Step 5: Solve for x
    x = 168,847.34/470.86
  6. Step 6: Final answer
    x = 358.59

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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.