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Finding the Fourth Proportional to 587.67, 810.94 and 325.69

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Solution

The fourth proportional to 587.67, 810.94 and 325.69 is: 449.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.67 : 810.94 = 325.69 : x
  2. Step 2: Convert to fraction form
    587.67/810.94 = 325.69/x
  3. Step 3: Cross multiply
    587.67x = 810.94 × 325.69
  4. Step 4: Simplify right side
    587.67x = 264,115.05
  5. Step 5: Solve for x
    x = 264,115.05/587.67
  6. Step 6: Final answer
    x = 449.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.