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Finding the Fourth Proportional to 599.40, 896.00 and 584.82

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Solution

The fourth proportional to 599.40, 896.00 and 584.82 is: 874.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.40 : 896.00 = 584.82 : x
  2. Step 2: Convert to fraction form
    599.40/896.00 = 584.82/x
  3. Step 3: Cross multiply
    599.40x = 896.00 × 584.82
  4. Step 4: Simplify right side
    599.40x = 523,995.80
  5. Step 5: Solve for x
    x = 523,995.80/599.40
  6. Step 6: Final answer
    x = 874.20

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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.