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Finding the Fourth Proportional to 417.02, 576.07 and 301.19

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Solution

The fourth proportional to 417.02, 576.07 and 301.19 is: 416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.02 : 576.07 = 301.19 : x
  2. Step 2: Convert to fraction form
    417.02/576.07 = 301.19/x
  3. Step 3: Cross multiply
    417.02x = 576.07 × 301.19
  4. Step 4: Simplify right side
    417.02x = 173,506.52
  5. Step 5: Solve for x
    x = 173,506.52/417.02
  6. Step 6: Final answer
    x = 416.06

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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.