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Finding the Fourth Proportional to 304.98, 457.02 and 296.22

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Solution

The fourth proportional to 304.98, 457.02 and 296.22 is: 443.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.98 : 457.02 = 296.22 : x
  2. Step 2: Convert to fraction form
    304.98/457.02 = 296.22/x
  3. Step 3: Cross multiply
    304.98x = 457.02 × 296.22
  4. Step 4: Simplify right side
    304.98x = 135,378.46
  5. Step 5: Solve for x
    x = 135,378.46/304.98
  6. Step 6: Final answer
    x = 443.89

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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.