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Finding the Fourth Proportional to 597.04, 824.02 and 375.82

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Solution

The fourth proportional to 597.04, 824.02 and 375.82 is: 518.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.04 : 824.02 = 375.82 : x
  2. Step 2: Convert to fraction form
    597.04/824.02 = 375.82/x
  3. Step 3: Cross multiply
    597.04x = 824.02 × 375.82
  4. Step 4: Simplify right side
    597.04x = 309,680.20
  5. Step 5: Solve for x
    x = 309,680.20/597.04
  6. Step 6: Final answer
    x = 518.69

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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.