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Finding the Fourth Proportional to 417.79, 576.21 and 293.23

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Solution

The fourth proportional to 417.79, 576.21 and 293.23 is: 404.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.79 : 576.21 = 293.23 : x
  2. Step 2: Convert to fraction form
    417.79/576.21 = 293.23/x
  3. Step 3: Cross multiply
    417.79x = 576.21 × 293.23
  4. Step 4: Simplify right side
    417.79x = 168,962.06
  5. Step 5: Solve for x
    x = 168,962.06/417.79
  6. Step 6: Final answer
    x = 404.42

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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.