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Finding the Fourth Proportional to 417.75, 576.09 and 378.51

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Solution

The fourth proportional to 417.75, 576.09 and 378.51 is: 521.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.75 : 576.09 = 378.51 : x
  2. Step 2: Convert to fraction form
    417.75/576.09 = 378.51/x
  3. Step 3: Cross multiply
    417.75x = 576.09 × 378.51
  4. Step 4: Simplify right side
    417.75x = 218,055.83
  5. Step 5: Solve for x
    x = 218,055.83/417.75
  6. Step 6: Final answer
    x = 521.98

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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.