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Finding the Fourth Proportional to 599.43, 898.37 and 584.06

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Solution

The fourth proportional to 599.43, 898.37 and 584.06 is: 875.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.43 : 898.37 = 584.06 : x
  2. Step 2: Convert to fraction form
    599.43/898.37 = 584.06/x
  3. Step 3: Cross multiply
    599.43x = 898.37 × 584.06
  4. Step 4: Simplify right side
    599.43x = 524,697.49
  5. Step 5: Solve for x
    x = 524,697.49/599.43
  6. Step 6: Final answer
    x = 875.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.