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Finding the Fourth Proportional to 599.28, 896.94 and 577.86

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Solution

The fourth proportional to 599.28, 896.94 and 577.86 is: 864.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.28 : 896.94 = 577.86 : x
  2. Step 2: Convert to fraction form
    599.28/896.94 = 577.86/x
  3. Step 3: Cross multiply
    599.28x = 896.94 × 577.86
  4. Step 4: Simplify right side
    599.28x = 518,305.75
  5. Step 5: Solve for x
    x = 518,305.75/599.28
  6. Step 6: Final answer
    x = 864.88

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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.