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Finding the Fourth Proportional to 665.15, 997.52 and 405.14

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Solution

The fourth proportional to 665.15, 997.52 and 405.14 is: 607.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.15 : 997.52 = 405.14 : x
  2. Step 2: Convert to fraction form
    665.15/997.52 = 405.14/x
  3. Step 3: Cross multiply
    665.15x = 997.52 × 405.14
  4. Step 4: Simplify right side
    665.15x = 404,128.24
  5. Step 5: Solve for x
    x = 404,128.24/665.15
  6. Step 6: Final answer
    x = 607.58

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Why These Related Problems?

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