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Finding the Fourth Proportional to 441.04, 661.46 and 304.96

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Solution

The fourth proportional to 441.04, 661.46 and 304.96 is: 457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.04 : 661.46 = 304.96 : x
  2. Step 2: Convert to fraction form
    441.04/661.46 = 304.96/x
  3. Step 3: Cross multiply
    441.04x = 661.46 × 304.96
  4. Step 4: Simplify right side
    441.04x = 201,718.84
  5. Step 5: Solve for x
    x = 201,718.84/441.04
  6. Step 6: Final answer
    x = 457.37

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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.