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Finding the Fourth Proportional to 597.06, 823.12 and 588.86

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Solution

The fourth proportional to 597.06, 823.12 and 588.86 is: 811.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.06 : 823.12 = 588.86 : x
  2. Step 2: Convert to fraction form
    597.06/823.12 = 588.86/x
  3. Step 3: Cross multiply
    597.06x = 823.12 × 588.86
  4. Step 4: Simplify right side
    597.06x = 484,702.44
  5. Step 5: Solve for x
    x = 484,702.44/597.06
  6. Step 6: Final answer
    x = 811.82

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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.