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Finding the Fourth Proportional to 645.84, 969.12 and 261.36

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Solution

The fourth proportional to 645.84, 969.12 and 261.36 is: 392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.84 : 969.12 = 261.36 : x
  2. Step 2: Convert to fraction form
    645.84/969.12 = 261.36/x
  3. Step 3: Cross multiply
    645.84x = 969.12 × 261.36
  4. Step 4: Simplify right side
    645.84x = 253,289.20
  5. Step 5: Solve for x
    x = 253,289.20/645.84
  6. Step 6: Final answer
    x = 392.19

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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.