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Finding the Fourth Proportional to 665.57, 918.77 and 456.05

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Solution

The fourth proportional to 665.57, 918.77 and 456.05 is: 629.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.57 : 918.77 = 456.05 : x
  2. Step 2: Convert to fraction form
    665.57/918.77 = 456.05/x
  3. Step 3: Cross multiply
    665.57x = 918.77 × 456.05
  4. Step 4: Simplify right side
    665.57x = 418,998.18
  5. Step 5: Solve for x
    x = 418,998.18/665.57
  6. Step 6: Final answer
    x = 629.54

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Why These Related Problems?

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