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Finding the Fourth Proportional to 486.06, 733.07 and 477.42

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Solution

The fourth proportional to 486.06, 733.07 and 477.42 is: 720.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.06 : 733.07 = 477.42 : x
  2. Step 2: Convert to fraction form
    486.06/733.07 = 477.42/x
  3. Step 3: Cross multiply
    486.06x = 733.07 × 477.42
  4. Step 4: Simplify right side
    486.06x = 349,979.89
  5. Step 5: Solve for x
    x = 349,979.89/486.06
  6. Step 6: Final answer
    x = 720.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.