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Finding the Fourth Proportional to 514.44, 709.38 and 383.22

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Solution

The fourth proportional to 514.44, 709.38 and 383.22 is: 528.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.44 : 709.38 = 383.22 : x
  2. Step 2: Convert to fraction form
    514.44/709.38 = 383.22/x
  3. Step 3: Cross multiply
    514.44x = 709.38 × 383.22
  4. Step 4: Simplify right side
    514.44x = 271,848.60
  5. Step 5: Solve for x
    x = 271,848.60/514.44
  6. Step 6: Final answer
    x = 528.44

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Why These Related Problems?

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