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Finding the Fourth Proportional to 601.54, 901.95 and 231.37

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Solution

The fourth proportional to 601.54, 901.95 and 231.37 is: 346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.54 : 901.95 = 231.37 : x
  2. Step 2: Convert to fraction form
    601.54/901.95 = 231.37/x
  3. Step 3: Cross multiply
    601.54x = 901.95 × 231.37
  4. Step 4: Simplify right side
    601.54x = 208,684.17
  5. Step 5: Solve for x
    x = 208,684.17/601.54
  6. Step 6: Final answer
    x = 346.92

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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.