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Finding the Fourth Proportional to 585.87, 878.13 and 277.80

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Solution

The fourth proportional to 585.87, 878.13 and 277.80 is: 416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.87 : 878.13 = 277.80 : x
  2. Step 2: Convert to fraction form
    585.87/878.13 = 277.80/x
  3. Step 3: Cross multiply
    585.87x = 878.13 × 277.80
  4. Step 4: Simplify right side
    585.87x = 243,944.51
  5. Step 5: Solve for x
    x = 243,944.51/585.87
  6. Step 6: Final answer
    x = 416.38

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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.