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Finding the Fourth Proportional to 316.50, 473.64 and 244.50

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Solution

The fourth proportional to 316.50, 473.64 and 244.50 is: 365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.50 : 473.64 = 244.50 : x
  2. Step 2: Convert to fraction form
    316.50/473.64 = 244.50/x
  3. Step 3: Cross multiply
    316.50x = 473.64 × 244.50
  4. Step 4: Simplify right side
    316.50x = 115,804.98
  5. Step 5: Solve for x
    x = 115,804.98/316.50
  6. Step 6: Final answer
    x = 365.89

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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.