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Finding the Fourth Proportional to 468.42, 646.40 and 269.19

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Solution

The fourth proportional to 468.42, 646.40 and 269.19 is: 371.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.42 : 646.40 = 269.19 : x
  2. Step 2: Convert to fraction form
    468.42/646.40 = 269.19/x
  3. Step 3: Cross multiply
    468.42x = 646.40 × 269.19
  4. Step 4: Simplify right side
    468.42x = 174,005.09
  5. Step 5: Solve for x
    x = 174,005.09/468.42
  6. Step 6: Final answer
    x = 371.48

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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.