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Finding the Fourth Proportional to 316.90, 440.39 and 313.04

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Solution

The fourth proportional to 316.90, 440.39 and 313.04 is: 435.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.90 : 440.39 = 313.04 : x
  2. Step 2: Convert to fraction form
    316.90/440.39 = 313.04/x
  3. Step 3: Cross multiply
    316.90x = 440.39 × 313.04
  4. Step 4: Simplify right side
    316.90x = 137,858.12
  5. Step 5: Solve for x
    x = 137,858.12/316.90
  6. Step 6: Final answer
    x = 435.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.