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Finding the Fourth Proportional to 577.47, 797.57 and 381.85

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Solution

The fourth proportional to 577.47, 797.57 and 381.85 is: 527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.47 : 797.57 = 381.85 : x
  2. Step 2: Convert to fraction form
    577.47/797.57 = 381.85/x
  3. Step 3: Cross multiply
    577.47x = 797.57 × 381.85
  4. Step 4: Simplify right side
    577.47x = 304,552.10
  5. Step 5: Solve for x
    x = 304,552.10/577.47
  6. Step 6: Final answer
    x = 527.39

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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.