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Finding the Fourth Proportional to 585.05, 807.15 and 349.03

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Solution

The fourth proportional to 585.05, 807.15 and 349.03 is: 481.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.05 : 807.15 = 349.03 : x
  2. Step 2: Convert to fraction form
    585.05/807.15 = 349.03/x
  3. Step 3: Cross multiply
    585.05x = 807.15 × 349.03
  4. Step 4: Simplify right side
    585.05x = 281,719.56
  5. Step 5: Solve for x
    x = 281,719.56/585.05
  6. Step 6: Final answer
    x = 481.53

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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.