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Finding the Fourth Proportional to 554.01, 830.85 and 276.25

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Solution

The fourth proportional to 554.01, 830.85 and 276.25 is: 414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.01 : 830.85 = 276.25 : x
  2. Step 2: Convert to fraction form
    554.01/830.85 = 276.25/x
  3. Step 3: Cross multiply
    554.01x = 830.85 × 276.25
  4. Step 4: Simplify right side
    554.01x = 229,522.31
  5. Step 5: Solve for x
    x = 229,522.31/554.01
  6. Step 6: Final answer
    x = 414.29

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