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Finding the Fourth Proportional to 450.08, 621.14 and 284.28

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Solution

The fourth proportional to 450.08, 621.14 and 284.28 is: 392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.08 : 621.14 = 284.28 : x
  2. Step 2: Convert to fraction form
    450.08/621.14 = 284.28/x
  3. Step 3: Cross multiply
    450.08x = 621.14 × 284.28
  4. Step 4: Simplify right side
    450.08x = 176,577.68
  5. Step 5: Solve for x
    x = 176,577.68/450.08
  6. Step 6: Final answer
    x = 392.33

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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.