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Finding the Fourth Proportional to 611.34, 917.37 and 457.38

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Solution

The fourth proportional to 611.34, 917.37 and 457.38 is: 686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.34 : 917.37 = 457.38 : x
  2. Step 2: Convert to fraction form
    611.34/917.37 = 457.38/x
  3. Step 3: Cross multiply
    611.34x = 917.37 × 457.38
  4. Step 4: Simplify right side
    611.34x = 419,586.69
  5. Step 5: Solve for x
    x = 419,586.69/611.34
  6. Step 6: Final answer
    x = 686.34

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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.