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Finding the Fourth Proportional to 346.76, 519.80 and 265.94

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Solution

The fourth proportional to 346.76, 519.80 and 265.94 is: 398.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.76 : 519.80 = 265.94 : x
  2. Step 2: Convert to fraction form
    346.76/519.80 = 265.94/x
  3. Step 3: Cross multiply
    346.76x = 519.80 × 265.94
  4. Step 4: Simplify right side
    346.76x = 138,231.68
  5. Step 5: Solve for x
    x = 138,231.68/346.76
  6. Step 6: Final answer
    x = 398.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.