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Finding the Fourth Proportional to 537.71, 741.50 and 495.34

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Solution

The fourth proportional to 537.71, 741.50 and 495.34 is: 683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.71 : 741.50 = 495.34 : x
  2. Step 2: Convert to fraction form
    537.71/741.50 = 495.34/x
  3. Step 3: Cross multiply
    537.71x = 741.50 × 495.34
  4. Step 4: Simplify right side
    537.71x = 367,296.78
  5. Step 5: Solve for x
    x = 367,296.78/537.71
  6. Step 6: Final answer
    x = 683.07

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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.