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Finding the Fourth Proportional to 460.22, 689.49 and 277.35

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Solution

The fourth proportional to 460.22, 689.49 and 277.35 is: 415.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.22 : 689.49 = 277.35 : x
  2. Step 2: Convert to fraction form
    460.22/689.49 = 277.35/x
  3. Step 3: Cross multiply
    460.22x = 689.49 × 277.35
  4. Step 4: Simplify right side
    460.22x = 191,230.05
  5. Step 5: Solve for x
    x = 191,230.05/460.22
  6. Step 6: Final answer
    x = 415.52

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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.