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Finding the Fourth Proportional to 537.48, 741.84 and 316.60

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Solution

The fourth proportional to 537.48, 741.84 and 316.60 is: 436.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.48 : 741.84 = 316.60 : x
  2. Step 2: Convert to fraction form
    537.48/741.84 = 316.60/x
  3. Step 3: Cross multiply
    537.48x = 741.84 × 316.60
  4. Step 4: Simplify right side
    537.48x = 234,866.54
  5. Step 5: Solve for x
    x = 234,866.54/537.48
  6. Step 6: Final answer
    x = 436.98

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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.