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Finding the Fourth Proportional to 556.98, 835.89 and 313.71

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Solution

The fourth proportional to 556.98, 835.89 and 313.71 is: 470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.98 : 835.89 = 313.71 : x
  2. Step 2: Convert to fraction form
    556.98/835.89 = 313.71/x
  3. Step 3: Cross multiply
    556.98x = 835.89 × 313.71
  4. Step 4: Simplify right side
    556.98x = 262,227.05
  5. Step 5: Solve for x
    x = 262,227.05/556.98
  6. Step 6: Final answer
    x = 470.80

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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.