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Finding the Fourth Proportional to 597.35, 823.89 and 523.53

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Solution

The fourth proportional to 597.35, 823.89 and 523.53 is: 722.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.35 : 823.89 = 523.53 : x
  2. Step 2: Convert to fraction form
    597.35/823.89 = 523.53/x
  3. Step 3: Cross multiply
    597.35x = 823.89 × 523.53
  4. Step 4: Simplify right side
    597.35x = 431,331.13
  5. Step 5: Solve for x
    x = 431,331.13/597.35
  6. Step 6: Final answer
    x = 722.08

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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.