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Finding the Fourth Proportional to 486.48, 671.40 and 297.54

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Solution

The fourth proportional to 486.48, 671.40 and 297.54 is: 410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.48 : 671.40 = 297.54 : x
  2. Step 2: Convert to fraction form
    486.48/671.40 = 297.54/x
  3. Step 3: Cross multiply
    486.48x = 671.40 × 297.54
  4. Step 4: Simplify right side
    486.48x = 199,768.36
  5. Step 5: Solve for x
    x = 199,768.36/486.48
  6. Step 6: Final answer
    x = 410.64

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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.