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Finding the Fourth Proportional to 577.15, 865.77 and 284.81

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Solution

The fourth proportional to 577.15, 865.77 and 284.81 is: 427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.15 : 865.77 = 284.81 : x
  2. Step 2: Convert to fraction form
    577.15/865.77 = 284.81/x
  3. Step 3: Cross multiply
    577.15x = 865.77 × 284.81
  4. Step 4: Simplify right side
    577.15x = 246,579.95
  5. Step 5: Solve for x
    x = 246,579.95/577.15
  6. Step 6: Final answer
    x = 427.24

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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.