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Finding the Fourth Proportional to 645.65, 968.93 and 235.14

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Solution

The fourth proportional to 645.65, 968.93 and 235.14 is: 352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.65 : 968.93 = 235.14 : x
  2. Step 2: Convert to fraction form
    645.65/968.93 = 235.14/x
  3. Step 3: Cross multiply
    645.65x = 968.93 × 235.14
  4. Step 4: Simplify right side
    645.65x = 227,834.20
  5. Step 5: Solve for x
    x = 227,834.20/645.65
  6. Step 6: Final answer
    x = 352.88

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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.