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Finding the Fourth Proportional to 460.09, 689.83 and 297.69

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Solution

The fourth proportional to 460.09, 689.83 and 297.69 is: 446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.09 : 689.83 = 297.69 : x
  2. Step 2: Convert to fraction form
    460.09/689.83 = 297.69/x
  3. Step 3: Cross multiply
    460.09x = 689.83 × 297.69
  4. Step 4: Simplify right side
    460.09x = 205,355.49
  5. Step 5: Solve for x
    x = 205,355.49/460.09
  6. Step 6: Final answer
    x = 446.34

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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.