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Finding the Fourth Proportional to 442.84, 611.40 and 303

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Solution

The fourth proportional to 442.84, 611.40 and 303 is: 418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.84 : 611.40 = 303 : x
  2. Step 2: Convert to fraction form
    442.84/611.40 = 303/x
  3. Step 3: Cross multiply
    442.84x = 611.40 × 303
  4. Step 4: Simplify right side
    442.84x = 185,254.20
  5. Step 5: Solve for x
    x = 185,254.20/442.84
  6. Step 6: Final answer
    x = 418.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.