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Finding the Fourth Proportional to 470.48, 705.92 and 278

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Solution

The fourth proportional to 470.48, 705.92 and 278 is: 417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.48 : 705.92 = 278 : x
  2. Step 2: Convert to fraction form
    470.48/705.92 = 278/x
  3. Step 3: Cross multiply
    470.48x = 705.92 × 278
  4. Step 4: Simplify right side
    470.48x = 196,245.76
  5. Step 5: Solve for x
    x = 196,245.76/470.48
  6. Step 6: Final answer
    x = 417.12

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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.