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Finding the Fourth Proportional to 479.97, 661.50 and 305.01

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Solution

The fourth proportional to 479.97, 661.50 and 305.01 is: 420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.97 : 661.50 = 305.01 : x
  2. Step 2: Convert to fraction form
    479.97/661.50 = 305.01/x
  3. Step 3: Cross multiply
    479.97x = 661.50 × 305.01
  4. Step 4: Simplify right side
    479.97x = 201,764.12
  5. Step 5: Solve for x
    x = 201,764.12/479.97
  6. Step 6: Final answer
    x = 420.37

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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.