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Finding the Fourth Proportional to 460.41, 689.59 and 378.33

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Solution

The fourth proportional to 460.41, 689.59 and 378.33 is: 566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.41 : 689.59 = 378.33 : x
  2. Step 2: Convert to fraction form
    460.41/689.59 = 378.33/x
  3. Step 3: Cross multiply
    460.41x = 689.59 × 378.33
  4. Step 4: Simplify right side
    460.41x = 260,892.58
  5. Step 5: Solve for x
    x = 260,892.58/460.41
  6. Step 6: Final answer
    x = 566.65

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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.