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Finding the Fourth Proportional to 587.64, 810.97 and 325.66

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Solution

The fourth proportional to 587.64, 810.97 and 325.66 is: 449.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.64 : 810.97 = 325.66 : x
  2. Step 2: Convert to fraction form
    587.64/810.97 = 325.66/x
  3. Step 3: Cross multiply
    587.64x = 810.97 × 325.66
  4. Step 4: Simplify right side
    587.64x = 264,098.86
  5. Step 5: Solve for x
    x = 264,098.86/587.64
  6. Step 6: Final answer
    x = 449.42

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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.