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Finding the Fourth Proportional to 470.35, 648.86 and 304.61

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Solution

The fourth proportional to 470.35, 648.86 and 304.61 is: 420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.35 : 648.86 = 304.61 : x
  2. Step 2: Convert to fraction form
    470.35/648.86 = 304.61/x
  3. Step 3: Cross multiply
    470.35x = 648.86 × 304.61
  4. Step 4: Simplify right side
    470.35x = 197,650.87
  5. Step 5: Solve for x
    x = 197,650.87/470.35
  6. Step 6: Final answer
    x = 420.23

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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.