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Finding the Fourth Proportional to 460.18, 689.97 and 411.58

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Solution

The fourth proportional to 460.18, 689.97 and 411.58 is: 617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.18 : 689.97 = 411.58 : x
  2. Step 2: Convert to fraction form
    460.18/689.97 = 411.58/x
  3. Step 3: Cross multiply
    460.18x = 689.97 × 411.58
  4. Step 4: Simplify right side
    460.18x = 283,977.94
  5. Step 5: Solve for x
    x = 283,977.94/460.18
  6. Step 6: Final answer
    x = 617.10

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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.