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Finding the Fourth Proportional to 597.80, 824.08 and 411

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Solution

The fourth proportional to 597.80, 824.08 and 411 is: 566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.80 : 824.08 = 411 : x
  2. Step 2: Convert to fraction form
    597.80/824.08 = 411/x
  3. Step 3: Cross multiply
    597.80x = 824.08 × 411
  4. Step 4: Simplify right side
    597.80x = 338,696.88
  5. Step 5: Solve for x
    x = 338,696.88/597.80
  6. Step 6: Final answer
    x = 566.57

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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.