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Finding the Fourth Proportional to 316.98, 437.86 and 264.70

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Solution

The fourth proportional to 316.98, 437.86 and 264.70 is: 365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.98 : 437.86 = 264.70 : x
  2. Step 2: Convert to fraction form
    316.98/437.86 = 264.70/x
  3. Step 3: Cross multiply
    316.98x = 437.86 × 264.70
  4. Step 4: Simplify right side
    316.98x = 115,900.93
  5. Step 5: Solve for x
    x = 115,900.93/316.98
  6. Step 6: Final answer
    x = 365.64

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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.