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Finding the Fourth Proportional to 514.12, 709.40 and 317.76

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Solution

The fourth proportional to 514.12, 709.40 and 317.76 is: 438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.12 : 709.40 = 317.76 : x
  2. Step 2: Convert to fraction form
    514.12/709.40 = 317.76/x
  3. Step 3: Cross multiply
    514.12x = 709.40 × 317.76
  4. Step 4: Simplify right side
    514.12x = 225,418.94
  5. Step 5: Solve for x
    x = 225,418.94/514.12
  6. Step 6: Final answer
    x = 438.46

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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.