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Finding the Fourth Proportional to 664.76, 917.46 and 381.29

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Solution

The fourth proportional to 664.76, 917.46 and 381.29 is: 526.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.76 : 917.46 = 381.29 : x
  2. Step 2: Convert to fraction form
    664.76/917.46 = 381.29/x
  3. Step 3: Cross multiply
    664.76x = 917.46 × 381.29
  4. Step 4: Simplify right side
    664.76x = 349,818.18
  5. Step 5: Solve for x
    x = 349,818.18/664.76
  6. Step 6: Final answer
    x = 526.23

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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.