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Finding the Fourth Proportional to 347.90, 480.74 and 264.88

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Solution

The fourth proportional to 347.90, 480.74 and 264.88 is: 366.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.90 : 480.74 = 264.88 : x
  2. Step 2: Convert to fraction form
    347.90/480.74 = 264.88/x
  3. Step 3: Cross multiply
    347.90x = 480.74 × 264.88
  4. Step 4: Simplify right side
    347.90x = 127,338.41
  5. Step 5: Solve for x
    x = 127,338.41/347.90
  6. Step 6: Final answer
    x = 366.02

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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.