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Finding the Fourth Proportional to 452.76, 678.53 and 235.89

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Solution

The fourth proportional to 452.76, 678.53 and 235.89 is: 353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.76 : 678.53 = 235.89 : x
  2. Step 2: Convert to fraction form
    452.76/678.53 = 235.89/x
  3. Step 3: Cross multiply
    452.76x = 678.53 × 235.89
  4. Step 4: Simplify right side
    452.76x = 160,057.26
  5. Step 5: Solve for x
    x = 160,057.26/452.76
  6. Step 6: Final answer
    x = 353.51

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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.