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Finding the Fourth Proportional to 454.48, 681.96 and 351.96

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Solution

The fourth proportional to 454.48, 681.96 and 351.96 is: 528.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.48 : 681.96 = 351.96 : x
  2. Step 2: Convert to fraction form
    454.48/681.96 = 351.96/x
  3. Step 3: Cross multiply
    454.48x = 681.96 × 351.96
  4. Step 4: Simplify right side
    454.48x = 240,022.64
  5. Step 5: Solve for x
    x = 240,022.64/454.48
  6. Step 6: Final answer
    x = 528.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.