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Finding the Fourth Proportional to 456.93, 629.10 and 398.68

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Solution

The fourth proportional to 456.93, 629.10 and 398.68 is: 548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.93 : 629.10 = 398.68 : x
  2. Step 2: Convert to fraction form
    456.93/629.10 = 398.68/x
  3. Step 3: Cross multiply
    456.93x = 629.10 × 398.68
  4. Step 4: Simplify right side
    456.93x = 250,808.02
  5. Step 5: Solve for x
    x = 250,808.02/456.93
  6. Step 6: Final answer
    x = 548.90

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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.