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Finding the Fourth Proportional to 588.15, 811.76 and 339.53

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Solution

The fourth proportional to 588.15, 811.76 and 339.53 is: 468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.15 : 811.76 = 339.53 : x
  2. Step 2: Convert to fraction form
    588.15/811.76 = 339.53/x
  3. Step 3: Cross multiply
    588.15x = 811.76 × 339.53
  4. Step 4: Simplify right side
    588.15x = 275,611.12
  5. Step 5: Solve for x
    x = 275,611.12/588.15
  6. Step 6: Final answer
    x = 468.61

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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.