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Finding the Fourth Proportional to 281.52, 419.52 and 263.30

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Solution

The fourth proportional to 281.52, 419.52 and 263.30 is: 392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.52 : 419.52 = 263.30 : x
  2. Step 2: Convert to fraction form
    281.52/419.52 = 263.30/x
  3. Step 3: Cross multiply
    281.52x = 419.52 × 263.30
  4. Step 4: Simplify right side
    281.52x = 110,457.52
  5. Step 5: Solve for x
    x = 110,457.52/281.52
  6. Step 6: Final answer
    x = 392.36

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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.