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Finding the Fourth Proportional to 417.34, 576.04 and 293.03

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Solution

The fourth proportional to 417.34, 576.04 and 293.03 is: 404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.34 : 576.04 = 293.03 : x
  2. Step 2: Convert to fraction form
    417.34/576.04 = 293.03/x
  3. Step 3: Cross multiply
    417.34x = 576.04 × 293.03
  4. Step 4: Simplify right side
    417.34x = 168,794.85
  5. Step 5: Solve for x
    x = 168,794.85/417.34
  6. Step 6: Final answer
    x = 404.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.