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Finding the Fourth Proportional to 554.78, 769.50 and 535.08

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Solution

The fourth proportional to 554.78, 769.50 and 535.08 is: 742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.78 : 769.50 = 535.08 : x
  2. Step 2: Convert to fraction form
    554.78/769.50 = 535.08/x
  3. Step 3: Cross multiply
    554.78x = 769.50 × 535.08
  4. Step 4: Simplify right side
    554.78x = 411,744.06
  5. Step 5: Solve for x
    x = 411,744.06/554.78
  6. Step 6: Final answer
    x = 742.18

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.