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Finding the Fourth Proportional to 346.44, 478.12 and 253.48

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Solution

The fourth proportional to 346.44, 478.12 and 253.48 is: 349.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.44 : 478.12 = 253.48 : x
  2. Step 2: Convert to fraction form
    346.44/478.12 = 253.48/x
  3. Step 3: Cross multiply
    346.44x = 478.12 × 253.48
  4. Step 4: Simplify right side
    346.44x = 121,193.86
  5. Step 5: Solve for x
    x = 121,193.86/346.44
  6. Step 6: Final answer
    x = 349.83

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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.