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Finding the Fourth Proportional to 368.71, 509.27 and 275.87

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Solution

The fourth proportional to 368.71, 509.27 and 275.87 is: 381.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.71 : 509.27 = 275.87 : x
  2. Step 2: Convert to fraction form
    368.71/509.27 = 275.87/x
  3. Step 3: Cross multiply
    368.71x = 509.27 × 275.87
  4. Step 4: Simplify right side
    368.71x = 140,488.39
  5. Step 5: Solve for x
    x = 140,488.39/368.71
  6. Step 6: Final answer
    x = 381.03

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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.