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Finding the Fourth Proportional to 537.18, 741.14 and 301.10

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Solution

The fourth proportional to 537.18, 741.14 and 301.10 is: 415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.18 : 741.14 = 301.10 : x
  2. Step 2: Convert to fraction form
    537.18/741.14 = 301.10/x
  3. Step 3: Cross multiply
    537.18x = 741.14 × 301.10
  4. Step 4: Simplify right side
    537.18x = 223,155.40
  5. Step 5: Solve for x
    x = 223,155.40/537.18
  6. Step 6: Final answer
    x = 415.42

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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.