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Finding the Fourth Proportional to 460.74, 690.56 and 186.46

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Solution

The fourth proportional to 460.74, 690.56 and 186.46 is: 279.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.74 : 690.56 = 186.46 : x
  2. Step 2: Convert to fraction form
    460.74/690.56 = 186.46/x
  3. Step 3: Cross multiply
    460.74x = 690.56 × 186.46
  4. Step 4: Simplify right side
    460.74x = 128,761.82
  5. Step 5: Solve for x
    x = 128,761.82/460.74
  6. Step 6: Final answer
    x = 279.47

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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.