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Finding the Fourth Proportional to 645.77, 968.02 and 352.42

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Solution

The fourth proportional to 645.77, 968.02 and 352.42 is: 528.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.77 : 968.02 = 352.42 : x
  2. Step 2: Convert to fraction form
    645.77/968.02 = 352.42/x
  3. Step 3: Cross multiply
    645.77x = 968.02 × 352.42
  4. Step 4: Simplify right side
    645.77x = 341,146.31
  5. Step 5: Solve for x
    x = 341,146.31/645.77
  6. Step 6: Final answer
    x = 528.28

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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.