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Finding the Fourth Proportional to 466.98, 700.62 and 193.22

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Solution

The fourth proportional to 466.98, 700.62 and 193.22 is: 289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.98 : 700.62 = 193.22 : x
  2. Step 2: Convert to fraction form
    466.98/700.62 = 193.22/x
  3. Step 3: Cross multiply
    466.98x = 700.62 × 193.22
  4. Step 4: Simplify right side
    466.98x = 135,373.80
  5. Step 5: Solve for x
    x = 135,373.80/466.98
  6. Step 6: Final answer
    x = 289.89

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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.