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Finding the Fourth Proportional to 597.54, 824.41 and 486.83

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Solution

The fourth proportional to 597.54, 824.41 and 486.83 is: 671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.54 : 824.41 = 486.83 : x
  2. Step 2: Convert to fraction form
    597.54/824.41 = 486.83/x
  3. Step 3: Cross multiply
    597.54x = 824.41 × 486.83
  4. Step 4: Simplify right side
    597.54x = 401,342.18
  5. Step 5: Solve for x
    x = 401,342.18/597.54
  6. Step 6: Final answer
    x = 671.66

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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.