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Finding the Fourth Proportional to 470.30, 648.68 and 293.11

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Solution

The fourth proportional to 470.30, 648.68 and 293.11 is: 404.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.30 : 648.68 = 293.11 : x
  2. Step 2: Convert to fraction form
    470.30/648.68 = 293.11/x
  3. Step 3: Cross multiply
    470.30x = 648.68 × 293.11
  4. Step 4: Simplify right side
    470.30x = 190,131.51
  5. Step 5: Solve for x
    x = 190,131.51/470.30
  6. Step 6: Final answer
    x = 404.28

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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.