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Finding the Fourth Proportional to 537.08, 741.08 and 301.01

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Solution

The fourth proportional to 537.08, 741.08 and 301.01 is: 415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.08 : 741.08 = 301.01 : x
  2. Step 2: Convert to fraction form
    537.08/741.08 = 301.01/x
  3. Step 3: Cross multiply
    537.08x = 741.08 × 301.01
  4. Step 4: Simplify right side
    537.08x = 223,072.49
  5. Step 5: Solve for x
    x = 223,072.49/537.08
  6. Step 6: Final answer
    x = 415.34

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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.