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Finding the Fourth Proportional to 557.70, 835.89 and 314.46

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Solution

The fourth proportional to 557.70, 835.89 and 314.46 is: 471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.70 : 835.89 = 314.46 : x
  2. Step 2: Convert to fraction form
    557.70/835.89 = 314.46/x
  3. Step 3: Cross multiply
    557.70x = 835.89 × 314.46
  4. Step 4: Simplify right side
    557.70x = 262,853.97
  5. Step 5: Solve for x
    x = 262,853.97/557.70
  6. Step 6: Final answer
    x = 471.32

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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.