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Finding the Fourth Proportional to 482.14, 665.30 and 305.03

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Solution

The fourth proportional to 482.14, 665.30 and 305.03 is: 420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.14 : 665.30 = 305.03 : x
  2. Step 2: Convert to fraction form
    482.14/665.30 = 305.03/x
  3. Step 3: Cross multiply
    482.14x = 665.30 × 305.03
  4. Step 4: Simplify right side
    482.14x = 202,934.93
  5. Step 5: Solve for x
    x = 202,934.93/482.14
  6. Step 6: Final answer
    x = 420.91

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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.