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Finding the Fourth Proportional to 597.56, 824.09 and 457.43

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Solution

The fourth proportional to 597.56, 824.09 and 457.43 is: 630.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.56 : 824.09 = 457.43 : x
  2. Step 2: Convert to fraction form
    597.56/824.09 = 457.43/x
  3. Step 3: Cross multiply
    597.56x = 824.09 × 457.43
  4. Step 4: Simplify right side
    597.56x = 376,957.08
  5. Step 5: Solve for x
    x = 376,957.08/597.56
  6. Step 6: Final answer
    x = 630.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.