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Finding the Fourth Proportional to 738.06, 1,018.46 and 406.42

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Solution

The fourth proportional to 738.06, 1,018.46 and 406.42 is: 560.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.06 : 1,018.46 = 406.42 : x
  2. Step 2: Convert to fraction form
    738.06/1,018.46 = 406.42/x
  3. Step 3: Cross multiply
    738.06x = 1,018.46 × 406.42
  4. Step 4: Simplify right side
    738.06x = 413,922.51
  5. Step 5: Solve for x
    x = 413,922.51/738.06
  6. Step 6: Final answer
    x = 560.83

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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.