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Finding the Fourth Proportional to 990.32, 1,484.99 and 323.01

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Solution

The fourth proportional to 990.32, 1,484.99 and 323.01 is: 484.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.32 : 1,484.99 = 323.01 : x
  2. Step 2: Convert to fraction form
    990.32/1,484.99 = 323.01/x
  3. Step 3: Cross multiply
    990.32x = 1,484.99 × 323.01
  4. Step 4: Simplify right side
    990.32x = 479,665.00
  5. Step 5: Solve for x
    x = 479,665.00/990.32
  6. Step 6: Final answer
    x = 484.36

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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.