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Finding the Fourth Proportional to 486.72, 671.58 and 290.22

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Solution

The fourth proportional to 486.72, 671.58 and 290.22 is: 400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.72 : 671.58 = 290.22 : x
  2. Step 2: Convert to fraction form
    486.72/671.58 = 290.22/x
  3. Step 3: Cross multiply
    486.72x = 671.58 × 290.22
  4. Step 4: Simplify right side
    486.72x = 194,905.95
  5. Step 5: Solve for x
    x = 194,905.95/486.72
  6. Step 6: Final answer
    x = 400.45

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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.