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Finding the Fourth Proportional to 482.75, 666.29 and 466.95

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Solution

The fourth proportional to 482.75, 666.29 and 466.95 is: 644.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.75 : 666.29 = 466.95 : x
  2. Step 2: Convert to fraction form
    482.75/666.29 = 466.95/x
  3. Step 3: Cross multiply
    482.75x = 666.29 × 466.95
  4. Step 4: Simplify right side
    482.75x = 311,124.12
  5. Step 5: Solve for x
    x = 311,124.12/482.75
  6. Step 6: Final answer
    x = 644.48

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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.