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Finding the Fourth Proportional to 304.40, 456.00 and 200.00

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Solution

The fourth proportional to 304.40, 456.00 and 200.00 is: 299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.40 : 456.00 = 200.00 : x
  2. Step 2: Convert to fraction form
    304.40/456.00 = 200.00/x
  3. Step 3: Cross multiply
    304.40x = 456.00 × 200.00
  4. Step 4: Simplify right side
    304.40x = 91,200.39
  5. Step 5: Solve for x
    x = 91,200.39/304.40
  6. Step 6: Final answer
    x = 299.60

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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.