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Finding the Fourth Proportional to 588.14, 811.18 and 411.05

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Solution

The fourth proportional to 588.14, 811.18 and 411.05 is: 566.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.14 : 811.18 = 411.05 : x
  2. Step 2: Convert to fraction form
    588.14/811.18 = 411.05/x
  3. Step 3: Cross multiply
    588.14x = 811.18 × 411.05
  4. Step 4: Simplify right side
    588.14x = 333,430.46
  5. Step 5: Solve for x
    x = 333,430.46/588.14
  6. Step 6: Final answer
    x = 566.92

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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.