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Finding the Fourth Proportional to 588.16, 811.62 and 381.16

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Solution

The fourth proportional to 588.16, 811.62 and 381.16 is: 525.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.16 : 811.62 = 381.16 : x
  2. Step 2: Convert to fraction form
    588.16/811.62 = 381.16/x
  3. Step 3: Cross multiply
    588.16x = 811.62 × 381.16
  4. Step 4: Simplify right side
    588.16x = 309,357.08
  5. Step 5: Solve for x
    x = 309,357.08/588.16
  6. Step 6: Final answer
    x = 525.97

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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.