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Finding the Fourth Proportional to 554.52, 830.73 and 280.29

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Solution

The fourth proportional to 554.52, 830.73 and 280.29 is: 419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.52 : 830.73 = 280.29 : x
  2. Step 2: Convert to fraction form
    554.52/830.73 = 280.29/x
  3. Step 3: Cross multiply
    554.52x = 830.73 × 280.29
  4. Step 4: Simplify right side
    554.52x = 232,845.31
  5. Step 5: Solve for x
    x = 232,845.31/554.52
  6. Step 6: Final answer
    x = 419.90

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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.