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Finding the Fourth Proportional to 599.28, 897.52 and 461.23

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Solution

The fourth proportional to 599.28, 897.52 and 461.23 is: 690.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.28 : 897.52 = 461.23 : x
  2. Step 2: Convert to fraction form
    599.28/897.52 = 461.23/x
  3. Step 3: Cross multiply
    599.28x = 897.52 × 461.23
  4. Step 4: Simplify right side
    599.28x = 413,963.15
  5. Step 5: Solve for x
    x = 413,963.15/599.28
  6. Step 6: Final answer
    x = 690.77

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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.