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Finding the Fourth Proportional to 417.33, 576.38 and 377.98

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Solution

The fourth proportional to 417.33, 576.38 and 377.98 is: 522.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.33 : 576.38 = 377.98 : x
  2. Step 2: Convert to fraction form
    417.33/576.38 = 377.98/x
  3. Step 3: Cross multiply
    417.33x = 576.38 × 377.98
  4. Step 4: Simplify right side
    417.33x = 217,860.11
  5. Step 5: Solve for x
    x = 217,860.11/417.33
  6. Step 6: Final answer
    x = 522.03

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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.