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Finding the Fourth Proportional to 460.40, 689.28 and 445.04

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Solution

The fourth proportional to 460.40, 689.28 and 445.04 is: 666.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.40 : 689.28 = 445.04 : x
  2. Step 2: Convert to fraction form
    460.40/689.28 = 445.04/x
  3. Step 3: Cross multiply
    460.40x = 689.28 × 445.04
  4. Step 4: Simplify right side
    460.40x = 306,757.17
  5. Step 5: Solve for x
    x = 306,757.17/460.40
  6. Step 6: Final answer
    x = 666.28

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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.