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Finding the Fourth Proportional to 596.94, 824.16 and 486.68

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Solution

The fourth proportional to 596.94, 824.16 and 486.68 is: 671.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.94 : 824.16 = 486.68 : x
  2. Step 2: Convert to fraction form
    596.94/824.16 = 486.68/x
  3. Step 3: Cross multiply
    596.94x = 824.16 × 486.68
  4. Step 4: Simplify right side
    596.94x = 401,102.19
  5. Step 5: Solve for x
    x = 401,102.19/596.94
  6. Step 6: Final answer
    x = 671.93

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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.