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Finding the Fourth Proportional to 599.64, 894.80 and 538.36

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Solution

The fourth proportional to 599.64, 894.80 and 538.36 is: 803.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.64 : 894.80 = 538.36 : x
  2. Step 2: Convert to fraction form
    599.64/894.80 = 538.36/x
  3. Step 3: Cross multiply
    599.64x = 894.80 × 538.36
  4. Step 4: Simplify right side
    599.64x = 481,724.53
  5. Step 5: Solve for x
    x = 481,724.53/599.64
  6. Step 6: Final answer
    x = 803.36

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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.