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Finding the Fourth Proportional to 470.25, 648.95 and 286.25

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Solution

The fourth proportional to 470.25, 648.95 and 286.25 is: 395.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.25 : 648.95 = 286.25 : x
  2. Step 2: Convert to fraction form
    470.25/648.95 = 286.25/x
  3. Step 3: Cross multiply
    470.25x = 648.95 × 286.25
  4. Step 4: Simplify right side
    470.25x = 185,760.51
  5. Step 5: Solve for x
    x = 185,760.51/470.25
  6. Step 6: Final answer
    x = 395.03

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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.