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Finding the Fourth Proportional to 391.58, 540.35 and 214.54

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Solution

The fourth proportional to 391.58, 540.35 and 214.54 is: 296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.58 : 540.35 = 214.54 : x
  2. Step 2: Convert to fraction form
    391.58/540.35 = 214.54/x
  3. Step 3: Cross multiply
    391.58x = 540.35 × 214.54
  4. Step 4: Simplify right side
    391.58x = 115,925.87
  5. Step 5: Solve for x
    x = 115,925.87/391.58
  6. Step 6: Final answer
    x = 296.05

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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.