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Finding the Fourth Proportional to 667.95, 1,001.61 and 235.05

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Solution

The fourth proportional to 667.95, 1,001.61 and 235.05 is: 352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.95 : 1,001.61 = 235.05 : x
  2. Step 2: Convert to fraction form
    667.95/1,001.61 = 235.05/x
  3. Step 3: Cross multiply
    667.95x = 1,001.61 × 235.05
  4. Step 4: Simplify right side
    667.95x = 235,428.43
  5. Step 5: Solve for x
    x = 235,428.43/667.95
  6. Step 6: Final answer
    x = 352.46

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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.