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Finding the Fourth Proportional to 645.63, 968.75 and 353.12

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Solution

The fourth proportional to 645.63, 968.75 and 353.12 is: 529.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.63 : 968.75 = 353.12 : x
  2. Step 2: Convert to fraction form
    645.63/968.75 = 353.12/x
  3. Step 3: Cross multiply
    645.63x = 968.75 × 353.12
  4. Step 4: Simplify right side
    645.63x = 342,078.39
  5. Step 5: Solve for x
    x = 342,078.39/645.63
  6. Step 6: Final answer
    x = 529.84

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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.