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Finding the Fourth Proportional to 394.51, 544.57 and 296.55

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Solution

The fourth proportional to 394.51, 544.57 and 296.55 is: 409.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.51 : 544.57 = 296.55 : x
  2. Step 2: Convert to fraction form
    394.51/544.57 = 296.55/x
  3. Step 3: Cross multiply
    394.51x = 544.57 × 296.55
  4. Step 4: Simplify right side
    394.51x = 161,493.16
  5. Step 5: Solve for x
    x = 161,493.16/394.51
  6. Step 6: Final answer
    x = 409.35

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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.