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Finding the Fourth Proportional to 588.18, 811.80 and 339.56

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Solution

The fourth proportional to 588.18, 811.80 and 339.56 is: 468.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.18 : 811.80 = 339.56 : x
  2. Step 2: Convert to fraction form
    588.18/811.80 = 339.56/x
  3. Step 3: Cross multiply
    588.18x = 811.80 × 339.56
  4. Step 4: Simplify right side
    588.18x = 275,654.81
  5. Step 5: Solve for x
    x = 275,654.81/588.18
  6. Step 6: Final answer
    x = 468.66

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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.