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Finding the Fourth Proportional to 466.68, 644.94 and 417.48

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Solution

The fourth proportional to 466.68, 644.94 and 417.48 is: 576.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.68 : 644.94 = 417.48 : x
  2. Step 2: Convert to fraction form
    466.68/644.94 = 417.48/x
  3. Step 3: Cross multiply
    466.68x = 644.94 × 417.48
  4. Step 4: Simplify right side
    466.68x = 269,249.55
  5. Step 5: Solve for x
    x = 269,249.55/466.68
  6. Step 6: Final answer
    x = 576.95

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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.