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Finding the Fourth Proportional to 645.32, 968.16 and 371.60

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Solution

The fourth proportional to 645.32, 968.16 and 371.60 is: 557.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.32 : 968.16 = 371.60 : x
  2. Step 2: Convert to fraction form
    645.32/968.16 = 371.60/x
  3. Step 3: Cross multiply
    645.32x = 968.16 × 371.60
  4. Step 4: Simplify right side
    645.32x = 359,768.26
  5. Step 5: Solve for x
    x = 359,768.26/645.32
  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.