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Finding the Fourth Proportional to 609.53, 914.91 and 474.06

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Solution

The fourth proportional to 609.53, 914.91 and 474.06 is: 711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.53 : 914.91 = 474.06 : x
  2. Step 2: Convert to fraction form
    609.53/914.91 = 474.06/x
  3. Step 3: Cross multiply
    609.53x = 914.91 × 474.06
  4. Step 4: Simplify right side
    609.53x = 433,722.23
  5. Step 5: Solve for x
    x = 433,722.23/609.53
  6. Step 6: Final answer
    x = 711.57

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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.