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Finding the Fourth Proportional to 587.02, 810.08 and 325.03

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Solution

The fourth proportional to 587.02, 810.08 and 325.03 is: 448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.02 : 810.08 = 325.03 : x
  2. Step 2: Convert to fraction form
    587.02/810.08 = 325.03/x
  3. Step 3: Cross multiply
    587.02x = 810.08 × 325.03
  4. Step 4: Simplify right side
    587.02x = 263,298.68
  5. Step 5: Solve for x
    x = 263,298.68/587.02
  6. Step 6: Final answer
    x = 448.54

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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.