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Finding the Fourth Proportional to 452.64, 678.40 and 236.08

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Solution

The fourth proportional to 452.64, 678.40 and 236.08 is: 353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.64 : 678.40 = 236.08 : x
  2. Step 2: Convert to fraction form
    452.64/678.40 = 236.08/x
  3. Step 3: Cross multiply
    452.64x = 678.40 × 236.08
  4. Step 4: Simplify right side
    452.64x = 160,156.67
  5. Step 5: Solve for x
    x = 160,156.67/452.64
  6. Step 6: Final answer
    x = 353.83

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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.