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Finding the Fourth Proportional to 585.90, 878.45 and 277.59

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Solution

The fourth proportional to 585.90, 878.45 and 277.59 is: 416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.90 : 878.45 = 277.59 : x
  2. Step 2: Convert to fraction form
    585.90/878.45 = 277.59/x
  3. Step 3: Cross multiply
    585.90x = 878.45 × 277.59
  4. Step 4: Simplify right side
    585.90x = 243,847.55
  5. Step 5: Solve for x
    x = 243,847.55/585.90
  6. Step 6: Final answer
    x = 416.19

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