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Finding the Fourth Proportional to 346.84, 478.48 and 243.40

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Solution

The fourth proportional to 346.84, 478.48 and 243.40 is: 335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.84 : 478.48 = 243.40 : x
  2. Step 2: Convert to fraction form
    346.84/478.48 = 243.40/x
  3. Step 3: Cross multiply
    346.84x = 478.48 × 243.40
  4. Step 4: Simplify right side
    346.84x = 116,462.03
  5. Step 5: Solve for x
    x = 116,462.03/346.84
  6. Step 6: Final answer
    x = 335.78

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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.