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Finding the Fourth Proportional to 577.46, 865.57 and 285.16

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Solution

The fourth proportional to 577.46, 865.57 and 285.16 is: 427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.46 : 865.57 = 285.16 : x
  2. Step 2: Convert to fraction form
    577.46/865.57 = 285.16/x
  3. Step 3: Cross multiply
    577.46x = 865.57 × 285.16
  4. Step 4: Simplify right side
    577.46x = 246,825.94
  5. Step 5: Solve for x
    x = 246,825.94/577.46
  6. Step 6: Final answer
    x = 427.43

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Why These Related Problems?

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