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Finding the Fourth Proportional to 599.32, 896.10 and 531.28

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Solution

The fourth proportional to 599.32, 896.10 and 531.28 is: 794.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.32 : 896.10 = 531.28 : x
  2. Step 2: Convert to fraction form
    599.32/896.10 = 531.28/x
  3. Step 3: Cross multiply
    599.32x = 896.10 × 531.28
  4. Step 4: Simplify right side
    599.32x = 476,080.01
  5. Step 5: Solve for x
    x = 476,080.01/599.32
  6. Step 6: Final answer
    x = 794.37

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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.