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Finding the Fourth Proportional to 417.76, 576.21 and 293.32

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Solution

The fourth proportional to 417.76, 576.21 and 293.32 is: 404.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.76 : 576.21 = 293.32 : x
  2. Step 2: Convert to fraction form
    417.76/576.21 = 293.32/x
  3. Step 3: Cross multiply
    417.76x = 576.21 × 293.32
  4. Step 4: Simplify right side
    417.76x = 169,015.74
  5. Step 5: Solve for x
    x = 169,015.74/417.76
  6. Step 6: Final answer
    x = 404.58

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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.