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Finding the Fourth Proportional to 393.03, 588.51 and 306.18

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Solution

The fourth proportional to 393.03, 588.51 and 306.18 is: 458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.03 : 588.51 = 306.18 : x
  2. Step 2: Convert to fraction form
    393.03/588.51 = 306.18/x
  3. Step 3: Cross multiply
    393.03x = 588.51 × 306.18
  4. Step 4: Simplify right side
    393.03x = 180,189.99
  5. Step 5: Solve for x
    x = 180,189.99/393.03
  6. Step 6: Final answer
    x = 458.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.