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Finding the Fourth Proportional to 347.23, 478.61 and 253.99

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Solution

The fourth proportional to 347.23, 478.61 and 253.99 is: 350.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.23 : 478.61 = 253.99 : x
  2. Step 2: Convert to fraction form
    347.23/478.61 = 253.99/x
  3. Step 3: Cross multiply
    347.23x = 478.61 × 253.99
  4. Step 4: Simplify right side
    347.23x = 121,558.49
  5. Step 5: Solve for x
    x = 121,558.49/347.23
  6. Step 6: Final answer
    x = 350.09

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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.