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Finding the Fourth Proportional to 449.76, 620.84 and 284.28

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Solution

The fourth proportional to 449.76, 620.84 and 284.28 is: 392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.76 : 620.84 = 284.28 : x
  2. Step 2: Convert to fraction form
    449.76/620.84 = 284.28/x
  3. Step 3: Cross multiply
    449.76x = 620.84 × 284.28
  4. Step 4: Simplify right side
    449.76x = 176,492.40
  5. Step 5: Solve for x
    x = 176,492.40/449.76
  6. Step 6: Final answer
    x = 392.41

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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.