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Finding the Fourth Proportional to 588.26, 811.82 and 352.35

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Solution

The fourth proportional to 588.26, 811.82 and 352.35 is: 486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.26 : 811.82 = 352.35 : x
  2. Step 2: Convert to fraction form
    588.26/811.82 = 352.35/x
  3. Step 3: Cross multiply
    588.26x = 811.82 × 352.35
  4. Step 4: Simplify right side
    588.26x = 286,045.66
  5. Step 5: Solve for x
    x = 286,045.66/588.26
  6. Step 6: Final answer
    x = 486.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.