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Finding the Fourth Proportional to 645.48, 967.86 and 414.30

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Solution

The fourth proportional to 645.48, 967.86 and 414.30 is: 621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.48 : 967.86 = 414.30 : x
  2. Step 2: Convert to fraction form
    645.48/967.86 = 414.30/x
  3. Step 3: Cross multiply
    645.48x = 967.86 × 414.30
  4. Step 4: Simplify right side
    645.48x = 400,984.40
  5. Step 5: Solve for x
    x = 400,984.40/645.48
  6. Step 6: Final answer
    x = 621.22

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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.