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Finding the Fourth Proportional to 597.07, 823.57 and 375.84

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Solution

The fourth proportional to 597.07, 823.57 and 375.84 is: 518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.07 : 823.57 = 375.84 : x
  2. Step 2: Convert to fraction form
    597.07/823.57 = 375.84/x
  3. Step 3: Cross multiply
    597.07x = 823.57 × 375.84
  4. Step 4: Simplify right side
    597.07x = 309,529.61
  5. Step 5: Solve for x
    x = 309,529.61/597.07
  6. Step 6: Final answer
    x = 518.41

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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.