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Finding the Fourth Proportional to 601.06, 901.65 and 216.34

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Solution

The fourth proportional to 601.06, 901.65 and 216.34 is: 324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.06 : 901.65 = 216.34 : x
  2. Step 2: Convert to fraction form
    601.06/901.65 = 216.34/x
  3. Step 3: Cross multiply
    601.06x = 901.65 × 216.34
  4. Step 4: Simplify right side
    601.06x = 195,062.96
  5. Step 5: Solve for x
    x = 195,062.96/601.06
  6. Step 6: Final answer
    x = 324.53

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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.