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Finding the Fourth Proportional to 493.70, 681.25 and 314.19

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Solution

The fourth proportional to 493.70, 681.25 and 314.19 is: 433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.70 : 681.25 = 314.19 : x
  2. Step 2: Convert to fraction form
    493.70/681.25 = 314.19/x
  3. Step 3: Cross multiply
    493.70x = 681.25 × 314.19
  4. Step 4: Simplify right side
    493.70x = 214,041.15
  5. Step 5: Solve for x
    x = 214,041.15/493.70
  6. Step 6: Final answer
    x = 433.54

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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.