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Finding the Fourth Proportional to 597.35, 822.33 and 513.99

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Solution

The fourth proportional to 597.35, 822.33 and 513.99 is: 707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.35 : 822.33 = 513.99 : x
  2. Step 2: Convert to fraction form
    597.35/822.33 = 513.99/x
  3. Step 3: Cross multiply
    597.35x = 822.33 × 513.99
  4. Step 4: Simplify right side
    597.35x = 422,669.40
  5. Step 5: Solve for x
    x = 422,669.40/597.35
  6. Step 6: Final answer
    x = 707.58

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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.