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Finding the Fourth Proportional to 486.14, 669.70 and 401.77

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Solution

The fourth proportional to 486.14, 669.70 and 401.77 is: 553.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.14 : 669.70 = 401.77 : x
  2. Step 2: Convert to fraction form
    486.14/669.70 = 401.77/x
  3. Step 3: Cross multiply
    486.14x = 669.70 × 401.77
  4. Step 4: Simplify right side
    486.14x = 269,062.02
  5. Step 5: Solve for x
    x = 269,062.02/486.14
  6. Step 6: Final answer
    x = 553.47

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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.