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Finding the Fourth Proportional to 470.27, 648.85 and 304.22

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Solution

The fourth proportional to 470.27, 648.85 and 304.22 is: 419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.27 : 648.85 = 304.22 : x
  2. Step 2: Convert to fraction form
    470.27/648.85 = 304.22/x
  3. Step 3: Cross multiply
    470.27x = 648.85 × 304.22
  4. Step 4: Simplify right side
    470.27x = 197,393.15
  5. Step 5: Solve for x
    x = 197,393.15/470.27
  6. Step 6: Final answer
    x = 419.74

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