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Finding the Fourth Proportional to 556.25, 834.69 and 248.06

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Solution

The fourth proportional to 556.25, 834.69 and 248.06 is: 372.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.25 : 834.69 = 248.06 : x
  2. Step 2: Convert to fraction form
    556.25/834.69 = 248.06/x
  3. Step 3: Cross multiply
    556.25x = 834.69 × 248.06
  4. Step 4: Simplify right side
    556.25x = 207,053.20
  5. Step 5: Solve for x
    x = 207,053.20/556.25
  6. Step 6: Final answer
    x = 372.23

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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.