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Finding the Fourth Proportional to 645.24, 966.02 and 336.36

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Solution

The fourth proportional to 645.24, 966.02 and 336.36 is: 503.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.24 : 966.02 = 336.36 : x
  2. Step 2: Convert to fraction form
    645.24/966.02 = 336.36/x
  3. Step 3: Cross multiply
    645.24x = 966.02 × 336.36
  4. Step 4: Simplify right side
    645.24x = 324,928.81
  5. Step 5: Solve for x
    x = 324,928.81/645.24
  6. Step 6: Final answer
    x = 503.58

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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.