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Finding the Fourth Proportional to 597.23, 896.46 and 453.86

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Solution

The fourth proportional to 597.23, 896.46 and 453.86 is: 681.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.23 : 896.46 = 453.86 : x
  2. Step 2: Convert to fraction form
    597.23/896.46 = 453.86/x
  3. Step 3: Cross multiply
    597.23x = 896.46 × 453.86
  4. Step 4: Simplify right side
    597.23x = 406,867.34
  5. Step 5: Solve for x
    x = 406,867.34/597.23
  6. Step 6: Final answer
    x = 681.26

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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.