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Finding the Fourth Proportional to 645.51, 967.95 and 234.75

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Solution

The fourth proportional to 645.51, 967.95 and 234.75 is: 352.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.51 : 967.95 = 234.75 : x
  2. Step 2: Convert to fraction form
    645.51/967.95 = 234.75/x
  3. Step 3: Cross multiply
    645.51x = 967.95 × 234.75
  4. Step 4: Simplify right side
    645.51x = 227,226.26
  5. Step 5: Solve for x
    x = 227,226.26/645.51
  6. Step 6: Final answer
    x = 352.01

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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.