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Finding the Fourth Proportional to 587.36, 879.62 and 380.79

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Solution

The fourth proportional to 587.36, 879.62 and 380.79 is: 570.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.36 : 879.62 = 380.79 : x
  2. Step 2: Convert to fraction form
    587.36/879.62 = 380.79/x
  3. Step 3: Cross multiply
    587.36x = 879.62 × 380.79
  4. Step 4: Simplify right side
    587.36x = 334,948.60
  5. Step 5: Solve for x
    x = 334,948.60/587.36
  6. Step 6: Final answer
    x = 570.26

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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.