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Finding the Fourth Proportional to 645.03, 967.14 and 401.76

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Solution

The fourth proportional to 645.03, 967.14 and 401.76 is: 602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.03 : 967.14 = 401.76 : x
  2. Step 2: Convert to fraction form
    645.03/967.14 = 401.76/x
  3. Step 3: Cross multiply
    645.03x = 967.14 × 401.76
  4. Step 4: Simplify right side
    645.03x = 388,558.17
  5. Step 5: Solve for x
    x = 388,558.17/645.03
  6. Step 6: Final answer
    x = 602.39

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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.