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Finding the Fourth Proportional to 346.23, 478.56 and 263.47

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Solution

The fourth proportional to 346.23, 478.56 and 263.47 is: 364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.23 : 478.56 = 263.47 : x
  2. Step 2: Convert to fraction form
    346.23/478.56 = 263.47/x
  3. Step 3: Cross multiply
    346.23x = 478.56 × 263.47
  4. Step 4: Simplify right side
    346.23x = 126,086.20
  5. Step 5: Solve for x
    x = 126,086.20/346.23
  6. Step 6: Final answer
    x = 364.17

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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.