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Finding the Fourth Proportional to 346.71, 478.62 and 267.84

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Solution

The fourth proportional to 346.71, 478.62 and 267.84 is: 369.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.71 : 478.62 = 267.84 : x
  2. Step 2: Convert to fraction form
    346.71/478.62 = 267.84/x
  3. Step 3: Cross multiply
    346.71x = 478.62 × 267.84
  4. Step 4: Simplify right side
    346.71x = 128,193.58
  5. Step 5: Solve for x
    x = 128,193.58/346.71
  6. Step 6: Final answer
    x = 369.74

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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.