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Finding the Fourth Proportional to 554.43, 830.92 and 280.38

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Solution

The fourth proportional to 554.43, 830.92 and 280.38 is: 420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.43 : 830.92 = 280.38 : x
  2. Step 2: Convert to fraction form
    554.43/830.92 = 280.38/x
  3. Step 3: Cross multiply
    554.43x = 830.92 × 280.38
  4. Step 4: Simplify right side
    554.43x = 232,969.20
  5. Step 5: Solve for x
    x = 232,969.20/554.43
  6. Step 6: Final answer
    x = 420.20

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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.