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Finding the Fourth Proportional to 442.84, 663.90 and 305.48

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Solution

The fourth proportional to 442.84, 663.90 and 305.48 is: 457.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.84 : 663.90 = 305.48 : x
  2. Step 2: Convert to fraction form
    442.84/663.90 = 305.48/x
  3. Step 3: Cross multiply
    442.84x = 663.90 × 305.48
  4. Step 4: Simplify right side
    442.84x = 202,808.17
  5. Step 5: Solve for x
    x = 202,808.17/442.84
  6. Step 6: Final answer
    x = 457.97

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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.