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Finding the Fourth Proportional to 537.23, 741.32 and 304.35

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Solution

The fourth proportional to 537.23, 741.32 and 304.35 is: 419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.23 : 741.32 = 304.35 : x
  2. Step 2: Convert to fraction form
    537.23/741.32 = 304.35/x
  3. Step 3: Cross multiply
    537.23x = 741.32 × 304.35
  4. Step 4: Simplify right side
    537.23x = 225,620.74
  5. Step 5: Solve for x
    x = 225,620.74/537.23
  6. Step 6: Final answer
    x = 419.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.