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Finding the Fourth Proportional to 442, 609.96 and 304.24

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Solution

The fourth proportional to 442, 609.96 and 304.24 is: 419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442 : 609.96 = 304.24 : x
  2. Step 2: Convert to fraction form
    442/609.96 = 304.24/x
  3. Step 3: Cross multiply
    442x = 609.96 × 304.24
  4. Step 4: Simplify right side
    442x = 185,574.23
  5. Step 5: Solve for x
    x = 185,574.23/442
  6. Step 6: Final answer
    x = 419.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.