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Finding the Fourth Proportional to 587.23, 879.82 and 313.85

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Solution

The fourth proportional to 587.23, 879.82 and 313.85 is: 470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.23 : 879.82 = 313.85 : x
  2. Step 2: Convert to fraction form
    587.23/879.82 = 313.85/x
  3. Step 3: Cross multiply
    587.23x = 879.82 × 313.85
  4. Step 4: Simplify right side
    587.23x = 276,131.51
  5. Step 5: Solve for x
    x = 276,131.51/587.23
  6. Step 6: Final answer
    x = 470.23

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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.