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Finding the Fourth Proportional to 597.69, 824.99 and 361.64

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Solution

The fourth proportional to 597.69, 824.99 and 361.64 is: 499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.69 : 824.99 = 361.64 : x
  2. Step 2: Convert to fraction form
    597.69/824.99 = 361.64/x
  3. Step 3: Cross multiply
    597.69x = 824.99 × 361.64
  4. Step 4: Simplify right side
    597.69x = 298,347.58
  5. Step 5: Solve for x
    x = 298,347.58/597.69
  6. Step 6: Final answer
    x = 499.17

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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.