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Finding the Fourth Proportional to 557.96, 835.62 and 326.36

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Solution

The fourth proportional to 557.96, 835.62 and 326.36 is: 488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.96 : 835.62 = 326.36 : x
  2. Step 2: Convert to fraction form
    557.96/835.62 = 326.36/x
  3. Step 3: Cross multiply
    557.96x = 835.62 × 326.36
  4. Step 4: Simplify right side
    557.96x = 272,712.94
  5. Step 5: Solve for x
    x = 272,712.94/557.96
  6. Step 6: Final answer
    x = 488.77

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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.