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Finding the Fourth Proportional to 460.34, 690.03 and 186.05

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Solution

The fourth proportional to 460.34, 690.03 and 186.05 is: 278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.34 : 690.03 = 186.05 : x
  2. Step 2: Convert to fraction form
    460.34/690.03 = 186.05/x
  3. Step 3: Cross multiply
    460.34x = 690.03 × 186.05
  4. Step 4: Simplify right side
    460.34x = 128,380.08
  5. Step 5: Solve for x
    x = 128,380.08/460.34
  6. Step 6: Final answer
    x = 278.88

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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.