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Finding the Fourth Proportional to 343.68, 474.33 and 270.55

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Solution

The fourth proportional to 343.68, 474.33 and 270.55 is: 373.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.68 : 474.33 = 270.55 : x
  2. Step 2: Convert to fraction form
    343.68/474.33 = 270.55/x
  3. Step 3: Cross multiply
    343.68x = 474.33 × 270.55
  4. Step 4: Simplify right side
    343.68x = 128,328.80
  5. Step 5: Solve for x
    x = 128,328.80/343.68
  6. Step 6: Final answer
    x = 373.40

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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.