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Finding the Fourth Proportional to 368.82, 508.77 and 237.78

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Solution

The fourth proportional to 368.82, 508.77 and 237.78 is: 328.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.82 : 508.77 = 237.78 : x
  2. Step 2: Convert to fraction form
    368.82/508.77 = 237.78/x
  3. Step 3: Cross multiply
    368.82x = 508.77 × 237.78
  4. Step 4: Simplify right side
    368.82x = 120,975.33
  5. Step 5: Solve for x
    x = 120,975.33/368.82
  6. Step 6: Final answer
    x = 328.01

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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.