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Finding the Fourth Proportional to 514.74, 709.88 and 317.90

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Solution

The fourth proportional to 514.74, 709.88 and 317.90 is: 438.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.74 : 709.88 = 317.90 : x
  2. Step 2: Convert to fraction form
    514.74/709.88 = 317.90/x
  3. Step 3: Cross multiply
    514.74x = 709.88 × 317.90
  4. Step 4: Simplify right side
    514.74x = 225,670.85
  5. Step 5: Solve for x
    x = 225,670.85/514.74
  6. Step 6: Final answer
    x = 438.42

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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.