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Finding the Fourth Proportional to 597.10, 823.96 and 331.53

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Solution

The fourth proportional to 597.10, 823.96 and 331.53 is: 457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.10 : 823.96 = 331.53 : x
  2. Step 2: Convert to fraction form
    597.10/823.96 = 331.53/x
  3. Step 3: Cross multiply
    597.10x = 823.96 × 331.53
  4. Step 4: Simplify right side
    597.10x = 273,166.63
  5. Step 5: Solve for x
    x = 273,166.63/597.10
  6. Step 6: Final answer
    x = 457.49

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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.