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Finding the Fourth Proportional to 645.32, 968.58 and 371.44

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Solution

The fourth proportional to 645.32, 968.58 and 371.44 is: 557.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.32 : 968.58 = 371.44 : x
  2. Step 2: Convert to fraction form
    645.32/968.58 = 371.44/x
  3. Step 3: Cross multiply
    645.32x = 968.58 × 371.44
  4. Step 4: Simplify right side
    645.32x = 359,769.36
  5. Step 5: Solve for x
    x = 359,769.36/645.32
  6. Step 6: Final answer
    x = 557.51

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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.