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Finding the Fourth Proportional to 316.80, 437.64 and 314.36

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Solution

The fourth proportional to 316.80, 437.64 and 314.36 is: 434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.80 : 437.64 = 314.36 : x
  2. Step 2: Convert to fraction form
    316.80/437.64 = 314.36/x
  3. Step 3: Cross multiply
    316.80x = 437.64 × 314.36
  4. Step 4: Simplify right side
    316.80x = 137,576.51
  5. Step 5: Solve for x
    x = 137,576.51/316.80
  6. Step 6: Final answer
    x = 434.27

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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.