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Finding the Fourth Proportional to 599.23, 893.74 and 588.84

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Solution

The fourth proportional to 599.23, 893.74 and 588.84 is: 878.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.23 : 893.74 = 588.84 : x
  2. Step 2: Convert to fraction form
    599.23/893.74 = 588.84/x
  3. Step 3: Cross multiply
    599.23x = 893.74 × 588.84
  4. Step 4: Simplify right side
    599.23x = 526,269.86
  5. Step 5: Solve for x
    x = 526,269.86/599.23
  6. Step 6: Final answer
    x = 878.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.