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Finding the Fourth Proportional to 665.82, 918.36 and 468.99

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Solution

The fourth proportional to 665.82, 918.36 and 468.99 is: 646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.82 : 918.36 = 468.99 : x
  2. Step 2: Convert to fraction form
    665.82/918.36 = 468.99/x
  3. Step 3: Cross multiply
    665.82x = 918.36 × 468.99
  4. Step 4: Simplify right side
    665.82x = 430,701.66
  5. Step 5: Solve for x
    x = 430,701.66/665.82
  6. Step 6: Final answer
    x = 646.87

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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.