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Finding the Fourth Proportional to 557.22, 833.79 and 337.06

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Solution

The fourth proportional to 557.22, 833.79 and 337.06 is: 504.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.22 : 833.79 = 337.06 : x
  2. Step 2: Convert to fraction form
    557.22/833.79 = 337.06/x
  3. Step 3: Cross multiply
    557.22x = 833.79 × 337.06
  4. Step 4: Simplify right side
    557.22x = 281,037.26
  5. Step 5: Solve for x
    x = 281,037.26/557.22
  6. Step 6: Final answer
    x = 504.36

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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.