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Finding the Fourth Proportional to 537.03, 741.10 and 316.11

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Solution

The fourth proportional to 537.03, 741.10 and 316.11 is: 436.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.03 : 741.10 = 316.11 : x
  2. Step 2: Convert to fraction form
    537.03/741.10 = 316.11/x
  3. Step 3: Cross multiply
    537.03x = 741.10 × 316.11
  4. Step 4: Simplify right side
    537.03x = 234,269.12
  5. Step 5: Solve for x
    x = 234,269.12/537.03
  6. Step 6: Final answer
    x = 436.23

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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.