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Finding the Fourth Proportional to 645.85, 888.96 and 552.28

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Solution

The fourth proportional to 645.85, 888.96 and 552.28 is: 760.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.85 : 888.96 = 552.28 : x
  2. Step 2: Convert to fraction form
    645.85/888.96 = 552.28/x
  3. Step 3: Cross multiply
    645.85x = 888.96 × 552.28
  4. Step 4: Simplify right side
    645.85x = 490,954.83
  5. Step 5: Solve for x
    x = 490,954.83/645.85
  6. Step 6: Final answer
    x = 760.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.