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Finding the Fourth Proportional to 537, 741.09 and 304.14

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Solution

The fourth proportional to 537, 741.09 and 304.14 is: 419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    537 : 741.09 = 304.14 : x
  2. Step 2: Convert to fraction form
    537/741.09 = 304.14/x
  3. Step 3: Cross multiply
    537x = 741.09 × 304.14
  4. Step 4: Simplify right side
    537x = 225,395.11
  5. Step 5: Solve for x
    x = 225,395.11/537
  6. Step 6: Final answer
    x = 419.73

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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.