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Finding the Fourth Proportional to 482.09, 665.01 and 307.13

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Solution

The fourth proportional to 482.09, 665.01 and 307.13 is: 423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.09 : 665.01 = 307.13 : x
  2. Step 2: Convert to fraction form
    482.09/665.01 = 307.13/x
  3. Step 3: Cross multiply
    482.09x = 665.01 × 307.13
  4. Step 4: Simplify right side
    482.09x = 204,241.20
  5. Step 5: Solve for x
    x = 204,241.20/482.09
  6. Step 6: Final answer
    x = 423.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.