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Finding the Fourth Proportional to 665.84, 997.95 and 300.53

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Solution

The fourth proportional to 665.84, 997.95 and 300.53 is: 450.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.84 : 997.95 = 300.53 : x
  2. Step 2: Convert to fraction form
    665.84/997.95 = 300.53/x
  3. Step 3: Cross multiply
    665.84x = 997.95 × 300.53
  4. Step 4: Simplify right side
    665.84x = 299,913.91
  5. Step 5: Solve for x
    x = 299,913.91/665.84
  6. Step 6: Final answer
    x = 450.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.