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Finding the Fourth Proportional to 394.64, 544.64 and 345.52

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Solution

The fourth proportional to 394.64, 544.64 and 345.52 is: 476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.64 : 544.64 = 345.52 : x
  2. Step 2: Convert to fraction form
    394.64/544.64 = 345.52/x
  3. Step 3: Cross multiply
    394.64x = 544.64 × 345.52
  4. Step 4: Simplify right side
    394.64x = 188,184.01
  5. Step 5: Solve for x
    x = 188,184.01/394.64
  6. Step 6: Final answer
    x = 476.85

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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.