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Finding the Fourth Proportional to 597.61, 824.69 and 364.74

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Solution

The fourth proportional to 597.61, 824.69 and 364.74 is: 503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.61 : 824.69 = 364.74 : x
  2. Step 2: Convert to fraction form
    597.61/824.69 = 364.74/x
  3. Step 3: Cross multiply
    597.61x = 824.69 × 364.74
  4. Step 4: Simplify right side
    597.61x = 300,797.43
  5. Step 5: Solve for x
    x = 300,797.43/597.61
  6. Step 6: Final answer
    x = 503.33

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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.