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Finding the Fourth Proportional to 665.97, 918.78 and 404.07

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Solution

The fourth proportional to 665.97, 918.78 and 404.07 is: 557.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.97 : 918.78 = 404.07 : x
  2. Step 2: Convert to fraction form
    665.97/918.78 = 404.07/x
  3. Step 3: Cross multiply
    665.97x = 918.78 × 404.07
  4. Step 4: Simplify right side
    665.97x = 371,251.43
  5. Step 5: Solve for x
    x = 371,251.43/665.97
  6. Step 6: Final answer
    x = 557.46

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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.