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Finding the Fourth Proportional to 466.53, 700.41 and 271.71

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Solution

The fourth proportional to 466.53, 700.41 and 271.71 is: 407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.53 : 700.41 = 271.71 : x
  2. Step 2: Convert to fraction form
    466.53/700.41 = 271.71/x
  3. Step 3: Cross multiply
    466.53x = 700.41 × 271.71
  4. Step 4: Simplify right side
    466.53x = 190,308.40
  5. Step 5: Solve for x
    x = 190,308.40/466.53
  6. Step 6: Final answer
    x = 407.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.