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Finding the Fourth Proportional to 390.92, 538.34 and 382.76

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Solution

The fourth proportional to 390.92, 538.34 and 382.76 is: 527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.92 : 538.34 = 382.76 : x
  2. Step 2: Convert to fraction form
    390.92/538.34 = 382.76/x
  3. Step 3: Cross multiply
    390.92x = 538.34 × 382.76
  4. Step 4: Simplify right side
    390.92x = 206,055.02
  5. Step 5: Solve for x
    x = 206,055.02/390.92
  6. Step 6: Final answer
    x = 527.10

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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.