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Finding the Fourth Proportional to 645.42, 969.30 and 402.42

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Solution

The fourth proportional to 645.42, 969.30 and 402.42 is: 604.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.42 : 969.30 = 402.42 : x
  2. Step 2: Convert to fraction form
    645.42/969.30 = 402.42/x
  3. Step 3: Cross multiply
    645.42x = 969.30 × 402.42
  4. Step 4: Simplify right side
    645.42x = 390,065.71
  5. Step 5: Solve for x
    x = 390,065.71/645.42
  6. Step 6: Final answer
    x = 604.36

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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.