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Finding the Fourth Proportional to 588.06, 811.53 and 326.08

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Solution

The fourth proportional to 588.06, 811.53 and 326.08 is: 450.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.06 : 811.53 = 326.08 : x
  2. Step 2: Convert to fraction form
    588.06/811.53 = 326.08/x
  3. Step 3: Cross multiply
    588.06x = 811.53 × 326.08
  4. Step 4: Simplify right side
    588.06x = 264,625.94
  5. Step 5: Solve for x
    x = 264,625.94/588.06
  6. Step 6: Final answer
    x = 450.00

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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.