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Finding the Fourth Proportional to 346.80, 478.56 and 309.84

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Solution

The fourth proportional to 346.80, 478.56 and 309.84 is: 427.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.80 : 478.56 = 309.84 : x
  2. Step 2: Convert to fraction form
    346.80/478.56 = 309.84/x
  3. Step 3: Cross multiply
    346.80x = 478.56 × 309.84
  4. Step 4: Simplify right side
    346.80x = 148,277.03
  5. Step 5: Solve for x
    x = 148,277.03/346.80
  6. Step 6: Final answer
    x = 427.56

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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.