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Finding the Fourth Proportional to 585.86, 878.02 and 277.29

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Solution

The fourth proportional to 585.86, 878.02 and 277.29 is: 415.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.86 : 878.02 = 277.29 : x
  2. Step 2: Convert to fraction form
    585.86/878.02 = 277.29/x
  3. Step 3: Cross multiply
    585.86x = 878.02 × 277.29
  4. Step 4: Simplify right side
    585.86x = 243,466.17
  5. Step 5: Solve for x
    x = 243,466.17/585.86
  6. Step 6: Final answer
    x = 415.57

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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.