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Finding the Fourth Proportional to 470.05, 648.39 and 359.35

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Solution

The fourth proportional to 470.05, 648.39 and 359.35 is: 495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.05 : 648.39 = 359.35 : x
  2. Step 2: Convert to fraction form
    470.05/648.39 = 359.35/x
  3. Step 3: Cross multiply
    470.05x = 648.39 × 359.35
  4. Step 4: Simplify right side
    470.05x = 232,998.95
  5. Step 5: Solve for x
    x = 232,998.95/470.05
  6. Step 6: Final answer
    x = 495.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.