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Finding the Fourth Proportional to 609.37, 913.59 and 316.47

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Solution

The fourth proportional to 609.37, 913.59 and 316.47 is: 474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.37 : 913.59 = 316.47 : x
  2. Step 2: Convert to fraction form
    609.37/913.59 = 316.47/x
  3. Step 3: Cross multiply
    609.37x = 913.59 × 316.47
  4. Step 4: Simplify right side
    609.37x = 289,123.83
  5. Step 5: Solve for x
    x = 289,123.83/609.37
  6. Step 6: Final answer
    x = 474.47

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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.