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Finding the Fourth Proportional to 451.74, 678.18 and 235.46

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Solution

The fourth proportional to 451.74, 678.18 and 235.46 is: 353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.74 : 678.18 = 235.46 : x
  2. Step 2: Convert to fraction form
    451.74/678.18 = 235.46/x
  3. Step 3: Cross multiply
    451.74x = 678.18 × 235.46
  4. Step 4: Simplify right side
    451.74x = 159,684.26
  5. Step 5: Solve for x
    x = 159,684.26/451.74
  6. Step 6: Final answer
    x = 353.49

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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.