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Finding the Fourth Proportional to 347.70, 480 and 216.78

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Solution

The fourth proportional to 347.70, 480 and 216.78 is: 299.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.70 : 480 = 216.78 : x
  2. Step 2: Convert to fraction form
    347.70/480 = 216.78/x
  3. Step 3: Cross multiply
    347.70x = 480 × 216.78
  4. Step 4: Simplify right side
    347.70x = 104,054.40
  5. Step 5: Solve for x
    x = 104,054.40/347.70
  6. Step 6: Final answer
    x = 299.26

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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.