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Finding the Fourth Proportional to 341.22, 509.31 and 317.14

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Solution

The fourth proportional to 341.22, 509.31 and 317.14 is: 473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.22 : 509.31 = 317.14 : x
  2. Step 2: Convert to fraction form
    341.22/509.31 = 317.14/x
  3. Step 3: Cross multiply
    341.22x = 509.31 × 317.14
  4. Step 4: Simplify right side
    341.22x = 161,522.57
  5. Step 5: Solve for x
    x = 161,522.57/341.22
  6. Step 6: Final answer
    x = 473.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.