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Finding the Fourth Proportional to 597.24, 824.04 and 411.48

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Solution

The fourth proportional to 597.24, 824.04 and 411.48 is: 567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.24 : 824.04 = 411.48 : x
  2. Step 2: Convert to fraction form
    597.24/824.04 = 411.48/x
  3. Step 3: Cross multiply
    597.24x = 824.04 × 411.48
  4. Step 4: Simplify right side
    597.24x = 339,075.98
  5. Step 5: Solve for x
    x = 339,075.98/597.24
  6. Step 6: Final answer
    x = 567.74

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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.