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Finding the Fourth Proportional to 490.76, 732.10 and 455.84

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Solution

The fourth proportional to 490.76, 732.10 and 455.84 is: 680.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.76 : 732.10 = 455.84 : x
  2. Step 2: Convert to fraction form
    490.76/732.10 = 455.84/x
  3. Step 3: Cross multiply
    490.76x = 732.10 × 455.84
  4. Step 4: Simplify right side
    490.76x = 333,720.46
  5. Step 5: Solve for x
    x = 333,720.46/490.76
  6. Step 6: Final answer
    x = 680.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.