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Finding the Fourth Proportional to 317.05, 439.36 and 313.13

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Solution

The fourth proportional to 317.05, 439.36 and 313.13 is: 433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.05 : 439.36 = 313.13 : x
  2. Step 2: Convert to fraction form
    317.05/439.36 = 313.13/x
  3. Step 3: Cross multiply
    317.05x = 439.36 × 313.13
  4. Step 4: Simplify right side
    317.05x = 137,577.11
  5. Step 5: Solve for x
    x = 137,577.11/317.05
  6. Step 6: Final answer
    x = 433.93

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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.