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Finding the Fourth Proportional to 537.23, 741.53 and 340.80

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Solution

The fourth proportional to 537.23, 741.53 and 340.80 is: 470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.23 : 741.53 = 340.80 : x
  2. Step 2: Convert to fraction form
    537.23/741.53 = 340.80/x
  3. Step 3: Cross multiply
    537.23x = 741.53 × 340.80
  4. Step 4: Simplify right side
    537.23x = 252,714.28
  5. Step 5: Solve for x
    x = 252,714.28/537.23
  6. Step 6: Final answer
    x = 470.41

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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.