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Finding the Fourth Proportional to 470.10, 705.15 and 278.94

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Solution

The fourth proportional to 470.10, 705.15 and 278.94 is: 418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.10 : 705.15 = 278.94 : x
  2. Step 2: Convert to fraction form
    470.10/705.15 = 278.94/x
  3. Step 3: Cross multiply
    470.10x = 705.15 × 278.94
  4. Step 4: Simplify right side
    470.10x = 196,694.54
  5. Step 5: Solve for x
    x = 196,694.54/470.10
  6. Step 6: Final answer
    x = 418.41

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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.