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Finding the Fourth Proportional to 577.21, 796.88 and 381.29

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Solution

The fourth proportional to 577.21, 796.88 and 381.29 is: 526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.21 : 796.88 = 381.29 : x
  2. Step 2: Convert to fraction form
    577.21/796.88 = 381.29/x
  3. Step 3: Cross multiply
    577.21x = 796.88 × 381.29
  4. Step 4: Simplify right side
    577.21x = 303,840.47
  5. Step 5: Solve for x
    x = 303,840.47/577.21
  6. Step 6: Final answer
    x = 526.40

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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.