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Finding the Fourth Proportional to 448.25, 671.75 and 357.24

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Solution

The fourth proportional to 448.25, 671.75 and 357.24 is: 535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.25 : 671.75 = 357.24 : x
  2. Step 2: Convert to fraction form
    448.25/671.75 = 357.24/x
  3. Step 3: Cross multiply
    448.25x = 671.75 × 357.24
  4. Step 4: Simplify right side
    448.25x = 239,975.97
  5. Step 5: Solve for x
    x = 239,975.97/448.25
  6. Step 6: Final answer
    x = 535.36

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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.