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Finding the Fourth Proportional to 597.40, 824.24 and 410.94

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Solution

The fourth proportional to 597.40, 824.24 and 410.94 is: 566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.40 : 824.24 = 410.94 : x
  2. Step 2: Convert to fraction form
    597.40/824.24 = 410.94/x
  3. Step 3: Cross multiply
    597.40x = 824.24 × 410.94
  4. Step 4: Simplify right side
    597.40x = 338,713.19
  5. Step 5: Solve for x
    x = 338,713.19/597.40
  6. Step 6: Final answer
    x = 566.98

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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.