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Finding the Fourth Proportional to 427.64, 588.72 and 383.88

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Solution

The fourth proportional to 427.64, 588.72 and 383.88 is: 528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.64 : 588.72 = 383.88 : x
  2. Step 2: Convert to fraction form
    427.64/588.72 = 383.88/x
  3. Step 3: Cross multiply
    427.64x = 588.72 × 383.88
  4. Step 4: Simplify right side
    427.64x = 225,997.83
  5. Step 5: Solve for x
    x = 225,997.83/427.64
  6. Step 6: Final answer
    x = 528.48

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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.