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Finding the Fourth Proportional to 470.14, 705.85 and 265.07

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Solution

The fourth proportional to 470.14, 705.85 and 265.07 is: 397.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.14 : 705.85 = 265.07 : x
  2. Step 2: Convert to fraction form
    470.14/705.85 = 265.07/x
  3. Step 3: Cross multiply
    470.14x = 705.85 × 265.07
  4. Step 4: Simplify right side
    470.14x = 187,100.76
  5. Step 5: Solve for x
    x = 187,100.76/470.14
  6. Step 6: Final answer
    x = 397.97

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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.