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Finding the Fourth Proportional to 588.16, 811.68 and 326.16

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Solution

The fourth proportional to 588.16, 811.68 and 326.16 is: 450.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.16 : 811.68 = 326.16 : x
  2. Step 2: Convert to fraction form
    588.16/811.68 = 326.16/x
  3. Step 3: Cross multiply
    588.16x = 811.68 × 326.16
  4. Step 4: Simplify right side
    588.16x = 264,737.55
  5. Step 5: Solve for x
    x = 264,737.55/588.16
  6. Step 6: Final answer
    x = 450.11

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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.