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Finding the Fourth Proportional to 537.62, 741.93 and 301.57

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Solution

The fourth proportional to 537.62, 741.93 and 301.57 is: 416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.62 : 741.93 = 301.57 : x
  2. Step 2: Convert to fraction form
    537.62/741.93 = 301.57/x
  3. Step 3: Cross multiply
    537.62x = 741.93 × 301.57
  4. Step 4: Simplify right side
    537.62x = 223,740.84
  5. Step 5: Solve for x
    x = 223,740.84/537.62
  6. Step 6: Final answer
    x = 416.17

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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.