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Finding the Fourth Proportional to 469.48, 648.09 and 334.98

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Solution

The fourth proportional to 469.48, 648.09 and 334.98 is: 462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.48 : 648.09 = 334.98 : x
  2. Step 2: Convert to fraction form
    469.48/648.09 = 334.98/x
  3. Step 3: Cross multiply
    469.48x = 648.09 × 334.98
  4. Step 4: Simplify right side
    469.48x = 217,097.19
  5. Step 5: Solve for x
    x = 217,097.19/469.48
  6. Step 6: Final answer
    x = 462.42

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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.