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Finding the Fourth Proportional to 554.46, 832.02 and 280.80

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Solution

The fourth proportional to 554.46, 832.02 and 280.80 is: 421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.46 : 832.02 = 280.80 : x
  2. Step 2: Convert to fraction form
    554.46/832.02 = 280.80/x
  3. Step 3: Cross multiply
    554.46x = 832.02 × 280.80
  4. Step 4: Simplify right side
    554.46x = 233,631.22
  5. Step 5: Solve for x
    x = 233,631.22/554.46
  6. Step 6: Final answer
    x = 421.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.