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Finding the Fourth Proportional to 490.16, 734.06 and 284.28

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Solution

The fourth proportional to 490.16, 734.06 and 284.28 is: 425.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.16 : 734.06 = 284.28 : x
  2. Step 2: Convert to fraction form
    490.16/734.06 = 284.28/x
  3. Step 3: Cross multiply
    490.16x = 734.06 × 284.28
  4. Step 4: Simplify right side
    490.16x = 208,678.58
  5. Step 5: Solve for x
    x = 208,678.58/490.16
  6. Step 6: Final answer
    x = 425.74

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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.