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Finding the Fourth Proportional to 645.24, 968.34 and 303.48

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Solution

The fourth proportional to 645.24, 968.34 and 303.48 is: 455.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.24 : 968.34 = 303.48 : x
  2. Step 2: Convert to fraction form
    645.24/968.34 = 303.48/x
  3. Step 3: Cross multiply
    645.24x = 968.34 × 303.48
  4. Step 4: Simplify right side
    645.24x = 293,871.82
  5. Step 5: Solve for x
    x = 293,871.82/645.24
  6. Step 6: Final answer
    x = 455.45

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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.