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Finding the Fourth Proportional to 357.12, 491.76 and 310.44

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Solution

The fourth proportional to 357.12, 491.76 and 310.44 is: 427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.12 : 491.76 = 310.44 : x
  2. Step 2: Convert to fraction form
    357.12/491.76 = 310.44/x
  3. Step 3: Cross multiply
    357.12x = 491.76 × 310.44
  4. Step 4: Simplify right side
    357.12x = 152,661.97
  5. Step 5: Solve for x
    x = 152,661.97/357.12
  6. Step 6: Final answer
    x = 427.48

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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.