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Finding the Fourth Proportional to 585.75, 878.34 and 277.34

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Solution

The fourth proportional to 585.75, 878.34 and 277.34 is: 415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.75 : 878.34 = 277.34 : x
  2. Step 2: Convert to fraction form
    585.75/878.34 = 277.34/x
  3. Step 3: Cross multiply
    585.75x = 878.34 × 277.34
  4. Step 4: Simplify right side
    585.75x = 243,598.82
  5. Step 5: Solve for x
    x = 243,598.82/585.75
  6. Step 6: Final answer
    x = 415.88

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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.