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Finding the Fourth Proportional to 453.84, 680.85 and 350.94

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Solution

The fourth proportional to 453.84, 680.85 and 350.94 is: 526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.84 : 680.85 = 350.94 : x
  2. Step 2: Convert to fraction form
    453.84/680.85 = 350.94/x
  3. Step 3: Cross multiply
    453.84x = 680.85 × 350.94
  4. Step 4: Simplify right side
    453.84x = 238,937.50
  5. Step 5: Solve for x
    x = 238,937.50/453.84
  6. Step 6: Final answer
    x = 526.48

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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.