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Finding the Fourth Proportional to 452.80, 678.60 and 236.32

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Solution

The fourth proportional to 452.80, 678.60 and 236.32 is: 354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.80 : 678.60 = 236.32 : x
  2. Step 2: Convert to fraction form
    452.80/678.60 = 236.32/x
  3. Step 3: Cross multiply
    452.80x = 678.60 × 236.32
  4. Step 4: Simplify right side
    452.80x = 160,366.75
  5. Step 5: Solve for x
    x = 160,366.75/452.80
  6. Step 6: Final answer
    x = 354.17

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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.