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Finding the Fourth Proportional to 466.83, 697.12 and 443.14

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Solution

The fourth proportional to 466.83, 697.12 and 443.14 is: 661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.83 : 697.12 = 443.14 : x
  2. Step 2: Convert to fraction form
    466.83/697.12 = 443.14/x
  3. Step 3: Cross multiply
    466.83x = 697.12 × 443.14
  4. Step 4: Simplify right side
    466.83x = 308,918.91
  5. Step 5: Solve for x
    x = 308,918.91/466.83
  6. Step 6: Final answer
    x = 661.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.