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Finding the Fourth Proportional to 588.04, 811.46 and 326.07

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Solution

The fourth proportional to 588.04, 811.46 and 326.07 is: 449.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.04 : 811.46 = 326.07 : x
  2. Step 2: Convert to fraction form
    588.04/811.46 = 326.07/x
  3. Step 3: Cross multiply
    588.04x = 811.46 × 326.07
  4. Step 4: Simplify right side
    588.04x = 264,587.07
  5. Step 5: Solve for x
    x = 264,587.07/588.04
  6. Step 6: Final answer
    x = 449.95

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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.