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Finding the Fourth Proportional to 662.58, 912.87 and 496.53

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Solution

The fourth proportional to 662.58, 912.87 and 496.53 is: 684.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.58 : 912.87 = 496.53 : x
  2. Step 2: Convert to fraction form
    662.58/912.87 = 496.53/x
  3. Step 3: Cross multiply
    662.58x = 912.87 × 496.53
  4. Step 4: Simplify right side
    662.58x = 453,267.34
  5. Step 5: Solve for x
    x = 453,267.34/662.58
  6. Step 6: Final answer
    x = 684.09

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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.