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Finding the Fourth Proportional to 597.54, 824.46 and 486.84

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Solution

The fourth proportional to 597.54, 824.46 and 486.84 is: 671.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.54 : 824.46 = 486.84 : x
  2. Step 2: Convert to fraction form
    597.54/824.46 = 486.84/x
  3. Step 3: Cross multiply
    597.54x = 824.46 × 486.84
  4. Step 4: Simplify right side
    597.54x = 401,375.19
  5. Step 5: Solve for x
    x = 401,375.19/597.54
  6. Step 6: Final answer
    x = 671.72

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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.