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Finding the Fourth Proportional to 537.91, 741.61 and 348.51

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Solution

The fourth proportional to 537.91, 741.61 and 348.51 is: 480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.91 : 741.61 = 348.51 : x
  2. Step 2: Convert to fraction form
    537.91/741.61 = 348.51/x
  3. Step 3: Cross multiply
    537.91x = 741.61 × 348.51
  4. Step 4: Simplify right side
    537.91x = 258,460.36
  5. Step 5: Solve for x
    x = 258,460.36/537.91
  6. Step 6: Final answer
    x = 480.49

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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.