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Finding the Fourth Proportional to 441.10, 661.52 and 305.02

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Solution

The fourth proportional to 441.10, 661.52 and 305.02 is: 457.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.10 : 661.52 = 305.02 : x
  2. Step 2: Convert to fraction form
    441.10/661.52 = 305.02/x
  3. Step 3: Cross multiply
    441.10x = 661.52 × 305.02
  4. Step 4: Simplify right side
    441.10x = 201,776.83
  5. Step 5: Solve for x
    x = 201,776.83/441.10
  6. Step 6: Final answer
    x = 457.44

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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.