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Finding the Fourth Proportional to 587.79, 811.16 and 325.80

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Solution

The fourth proportional to 587.79, 811.16 and 325.80 is: 449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.79 : 811.16 = 325.80 : x
  2. Step 2: Convert to fraction form
    587.79/811.16 = 325.80/x
  3. Step 3: Cross multiply
    587.79x = 811.16 × 325.80
  4. Step 4: Simplify right side
    587.79x = 264,275.93
  5. Step 5: Solve for x
    x = 264,275.93/587.79
  6. Step 6: Final answer
    x = 449.61

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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.