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Finding the Fourth Proportional to 470.24, 648.56 and 295.44

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Solution

The fourth proportional to 470.24, 648.56 and 295.44 is: 407.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.24 : 648.56 = 295.44 : x
  2. Step 2: Convert to fraction form
    470.24/648.56 = 295.44/x
  3. Step 3: Cross multiply
    470.24x = 648.56 × 295.44
  4. Step 4: Simplify right side
    470.24x = 191,610.57
  5. Step 5: Solve for x
    x = 191,610.57/470.24
  6. Step 6: Final answer
    x = 407.47

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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.