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Finding the Fourth Proportional to 645.60, 968.05 and 316.44

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Solution

The fourth proportional to 645.60, 968.05 and 316.44 is: 474.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.60 : 968.05 = 316.44 : x
  2. Step 2: Convert to fraction form
    645.60/968.05 = 316.44/x
  3. Step 3: Cross multiply
    645.60x = 968.05 × 316.44
  4. Step 4: Simplify right side
    645.60x = 306,330.14
  5. Step 5: Solve for x
    x = 306,330.14/645.60
  6. Step 6: Final answer
    x = 474.49

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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.