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Finding the Fourth Proportional to 645.66, 968.48 and 260.91

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Solution

The fourth proportional to 645.66, 968.48 and 260.91 is: 391.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.66 : 968.48 = 260.91 : x
  2. Step 2: Convert to fraction form
    645.66/968.48 = 260.91/x
  3. Step 3: Cross multiply
    645.66x = 968.48 × 260.91
  4. Step 4: Simplify right side
    645.66x = 252,683.63
  5. Step 5: Solve for x
    x = 252,683.63/645.66
  6. Step 6: Final answer
    x = 391.36

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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.