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Finding the Fourth Proportional to 371.61, 557.55 and 217.51

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Solution

The fourth proportional to 371.61, 557.55 and 217.51 is: 326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.61 : 557.55 = 217.51 : x
  2. Step 2: Convert to fraction form
    371.61/557.55 = 217.51/x
  3. Step 3: Cross multiply
    371.61x = 557.55 × 217.51
  4. Step 4: Simplify right side
    371.61x = 121,271.31
  5. Step 5: Solve for x
    x = 121,271.31/371.61
  6. Step 6: Final answer
    x = 326.34

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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.