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Finding the Fourth Proportional to 514.22, 710.10 and 317.79

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Solution

The fourth proportional to 514.22, 710.10 and 317.79 is: 438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.22 : 710.10 = 317.79 : x
  2. Step 2: Convert to fraction form
    514.22/710.10 = 317.79/x
  3. Step 3: Cross multiply
    514.22x = 710.10 × 317.79
  4. Step 4: Simplify right side
    514.22x = 225,662.68
  5. Step 5: Solve for x
    x = 225,662.68/514.22
  6. Step 6: Final answer
    x = 438.85

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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.