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Finding the Fourth Proportional to 609.42, 914.25 and 317.07

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Solution

The fourth proportional to 609.42, 914.25 and 317.07 is: 475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.42 : 914.25 = 317.07 : x
  2. Step 2: Convert to fraction form
    609.42/914.25 = 317.07/x
  3. Step 3: Cross multiply
    609.42x = 914.25 × 317.07
  4. Step 4: Simplify right side
    609.42x = 289,881.25
  5. Step 5: Solve for x
    x = 289,881.25/609.42
  6. Step 6: Final answer
    x = 475.67

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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.