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Finding the Fourth Proportional to 934.29, 1,401.53 and 317.84

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Solution

The fourth proportional to 934.29, 1,401.53 and 317.84 is: 476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.29 : 1,401.53 = 317.84 : x
  2. Step 2: Convert to fraction form
    934.29/1,401.53 = 317.84/x
  3. Step 3: Cross multiply
    934.29x = 1,401.53 × 317.84
  4. Step 4: Simplify right side
    934.29x = 445,453.70
  5. Step 5: Solve for x
    x = 445,453.70/934.29
  6. Step 6: Final answer
    x = 476.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.