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Finding the Fourth Proportional to 587.01, 878.30 and 364.68

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Solution

The fourth proportional to 587.01, 878.30 and 364.68 is: 545.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.01 : 878.30 = 364.68 : x
  2. Step 2: Convert to fraction form
    587.01/878.30 = 364.68/x
  3. Step 3: Cross multiply
    587.01x = 878.30 × 364.68
  4. Step 4: Simplify right side
    587.01x = 320,296.62
  5. Step 5: Solve for x
    x = 320,296.62/587.01
  6. Step 6: Final answer
    x = 545.64

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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.