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Finding the Fourth Proportional to 597.65, 896.46 and 563.63

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Solution

The fourth proportional to 597.65, 896.46 and 563.63 is: 845.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.65 : 896.46 = 563.63 : x
  2. Step 2: Convert to fraction form
    597.65/896.46 = 563.63/x
  3. Step 3: Cross multiply
    597.65x = 896.46 × 563.63
  4. Step 4: Simplify right side
    597.65x = 505,271.75
  5. Step 5: Solve for x
    x = 505,271.75/597.65
  6. Step 6: Final answer
    x = 845.43

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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.