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Finding the Fourth Proportional to 597.99, 824.79 and 411.21

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Solution

The fourth proportional to 597.99, 824.79 and 411.21 is: 567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.99 : 824.79 = 411.21 : x
  2. Step 2: Convert to fraction form
    597.99/824.79 = 411.21/x
  3. Step 3: Cross multiply
    597.99x = 824.79 × 411.21
  4. Step 4: Simplify right side
    597.99x = 339,161.90
  5. Step 5: Solve for x
    x = 339,161.90/597.99
  6. Step 6: Final answer
    x = 567.17

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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.