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Finding the Fourth Proportional to 587.27, 810.44 and 325.28

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Solution

The fourth proportional to 587.27, 810.44 and 325.28 is: 448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.27 : 810.44 = 325.28 : x
  2. Step 2: Convert to fraction form
    587.27/810.44 = 325.28/x
  3. Step 3: Cross multiply
    587.27x = 810.44 × 325.28
  4. Step 4: Simplify right side
    587.27x = 263,619.92
  5. Step 5: Solve for x
    x = 263,619.92/587.27
  6. Step 6: Final answer
    x = 448.89

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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.