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Finding the Fourth Proportional to 486.66, 671.42 and 290.10

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Solution

The fourth proportional to 486.66, 671.42 and 290.10 is: 400.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.66 : 671.42 = 290.10 : x
  2. Step 2: Convert to fraction form
    486.66/671.42 = 290.10/x
  3. Step 3: Cross multiply
    486.66x = 671.42 × 290.10
  4. Step 4: Simplify right side
    486.66x = 194,778.94
  5. Step 5: Solve for x
    x = 194,778.94/486.66
  6. Step 6: Final answer
    x = 400.24

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Why These Related Problems?

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