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Finding the Fourth Proportional to 537.05, 741.08 and 315.99

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Solution

The fourth proportional to 537.05, 741.08 and 315.99 is: 436.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.05 : 741.08 = 315.99 : x
  2. Step 2: Convert to fraction form
    537.05/741.08 = 315.99/x
  3. Step 3: Cross multiply
    537.05x = 741.08 × 315.99
  4. Step 4: Simplify right side
    537.05x = 234,174.66
  5. Step 5: Solve for x
    x = 234,174.66/537.05
  6. Step 6: Final answer
    x = 436.04

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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.