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Finding the Fourth Proportional to 482.06, 665.14 and 305.12

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Solution

The fourth proportional to 482.06, 665.14 and 305.12 is: 421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.06 : 665.14 = 305.12 : x
  2. Step 2: Convert to fraction form
    482.06/665.14 = 305.12/x
  3. Step 3: Cross multiply
    482.06x = 665.14 × 305.12
  4. Step 4: Simplify right side
    482.06x = 202,947.52
  5. Step 5: Solve for x
    x = 202,947.52/482.06
  6. Step 6: Final answer
    x = 421.00

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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.