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Finding the Fourth Proportional to 587.31, 810.46 and 325.32

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Solution

The fourth proportional to 587.31, 810.46 and 325.32 is: 448.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.31 : 810.46 = 325.32 : x
  2. Step 2: Convert to fraction form
    587.31/810.46 = 325.32/x
  3. Step 3: Cross multiply
    587.31x = 810.46 × 325.32
  4. Step 4: Simplify right side
    587.31x = 263,658.85
  5. Step 5: Solve for x
    x = 263,658.85/587.31
  6. Step 6: Final answer
    x = 448.93

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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.