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Finding the Fourth Proportional to 645.16, 968.92 and 403.36

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Solution

The fourth proportional to 645.16, 968.92 and 403.36 is: 605.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.16 : 968.92 = 403.36 : x
  2. Step 2: Convert to fraction form
    645.16/968.92 = 403.36/x
  3. Step 3: Cross multiply
    645.16x = 968.92 × 403.36
  4. Step 4: Simplify right side
    645.16x = 390,823.57
  5. Step 5: Solve for x
    x = 390,823.57/645.16
  6. Step 6: Final answer
    x = 605.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.