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Finding the Fourth Proportional to 391.71, 540.56 and 214.67

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Solution

The fourth proportional to 391.71, 540.56 and 214.67 is: 296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.71 : 540.56 = 214.67 : x
  2. Step 2: Convert to fraction form
    391.71/540.56 = 214.67/x
  3. Step 3: Cross multiply
    391.71x = 540.56 × 214.67
  4. Step 4: Simplify right side
    391.71x = 116,038.24
  5. Step 5: Solve for x
    x = 116,038.24/391.71
  6. Step 6: Final answer
    x = 296.24

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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.