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Finding the Fourth Proportional to 368.55, 509.49 and 281.07

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Solution

The fourth proportional to 368.55, 509.49 and 281.07 is: 388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.55 : 509.49 = 281.07 : x
  2. Step 2: Convert to fraction form
    368.55/509.49 = 281.07/x
  3. Step 3: Cross multiply
    368.55x = 509.49 × 281.07
  4. Step 4: Simplify right side
    368.55x = 143,202.35
  5. Step 5: Solve for x
    x = 143,202.35/368.55
  6. Step 6: Final answer
    x = 388.56

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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.