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Finding the Fourth Proportional to 587.14, 810.16 and 325.10

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Solution

The fourth proportional to 587.14, 810.16 and 325.10 is: 448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.14 : 810.16 = 325.10 : x
  2. Step 2: Convert to fraction form
    587.14/810.16 = 325.10/x
  3. Step 3: Cross multiply
    587.14x = 810.16 × 325.10
  4. Step 4: Simplify right side
    587.14x = 263,383.02
  5. Step 5: Solve for x
    x = 263,383.02/587.14
  6. Step 6: Final answer
    x = 448.59

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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.