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Finding the Fourth Proportional to 281.52, 420.73 and 259.63

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Solution

The fourth proportional to 281.52, 420.73 and 259.63 is: 388.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.52 : 420.73 = 259.63 : x
  2. Step 2: Convert to fraction form
    281.52/420.73 = 259.63/x
  3. Step 3: Cross multiply
    281.52x = 420.73 × 259.63
  4. Step 4: Simplify right side
    281.52x = 109,232.43
  5. Step 5: Solve for x
    x = 109,232.43/281.52
  6. Step 6: Final answer
    x = 388.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.