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Finding the Fourth Proportional to 601.44, 900.24 and 323.10

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Solution

The fourth proportional to 601.44, 900.24 and 323.10 is: 483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.44 : 900.24 = 323.10 : x
  2. Step 2: Convert to fraction form
    601.44/900.24 = 323.10/x
  3. Step 3: Cross multiply
    601.44x = 900.24 × 323.10
  4. Step 4: Simplify right side
    601.44x = 290,866.33
  5. Step 5: Solve for x
    x = 290,866.33/601.44
  6. Step 6: Final answer
    x = 483.62

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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.