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Finding the Fourth Proportional to 990.14, 1,485.42 and 332.12

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Solution

The fourth proportional to 990.14, 1,485.42 and 332.12 is: 498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.14 : 1,485.42 = 332.12 : x
  2. Step 2: Convert to fraction form
    990.14/1,485.42 = 332.12/x
  3. Step 3: Cross multiply
    990.14x = 1,485.42 × 332.12
  4. Step 4: Simplify right side
    990.14x = 493,337.69
  5. Step 5: Solve for x
    x = 493,337.69/990.14
  6. Step 6: Final answer
    x = 498.25

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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.