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Finding the Fourth Proportional to 601.40, 901.74 and 216.68

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Solution

The fourth proportional to 601.40, 901.74 and 216.68 is: 324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.40 : 901.74 = 216.68 : x
  2. Step 2: Convert to fraction form
    601.40/901.74 = 216.68/x
  3. Step 3: Cross multiply
    601.40x = 901.74 × 216.68
  4. Step 4: Simplify right side
    601.40x = 195,389.02
  5. Step 5: Solve for x
    x = 195,389.02/601.40
  6. Step 6: Final answer
    x = 324.89

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Why These Related Problems?

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