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Finding the Fourth Proportional to 486.67, 671.64 and 290.19

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Solution

The fourth proportional to 486.67, 671.64 and 290.19 is: 400.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.67 : 671.64 = 290.19 : x
  2. Step 2: Convert to fraction form
    486.67/671.64 = 290.19/x
  3. Step 3: Cross multiply
    486.67x = 671.64 × 290.19
  4. Step 4: Simplify right side
    486.67x = 194,901.76
  5. Step 5: Solve for x
    x = 194,901.76/486.67
  6. Step 6: Final answer
    x = 400.48

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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.