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Finding the Fourth Proportional to 417.66, 576.24 and 334.98

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Solution

The fourth proportional to 417.66, 576.24 and 334.98 is: 462.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.66 : 576.24 = 334.98 : x
  2. Step 2: Convert to fraction form
    417.66/576.24 = 334.98/x
  3. Step 3: Cross multiply
    417.66x = 576.24 × 334.98
  4. Step 4: Simplify right side
    417.66x = 193,028.88
  5. Step 5: Solve for x
    x = 193,028.88/417.66
  6. Step 6: Final answer
    x = 462.17

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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.