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Finding the Fourth Proportional to 393.17, 588.53 and 256.01

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Solution

The fourth proportional to 393.17, 588.53 and 256.01 is: 383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.17 : 588.53 = 256.01 : x
  2. Step 2: Convert to fraction form
    393.17/588.53 = 256.01/x
  3. Step 3: Cross multiply
    393.17x = 588.53 × 256.01
  4. Step 4: Simplify right side
    393.17x = 150,667.26
  5. Step 5: Solve for x
    x = 150,667.26/393.17
  6. Step 6: Final answer
    x = 383.22

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