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Finding the Fourth Proportional to 460.82, 690.43 and 316.02

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Solution

The fourth proportional to 460.82, 690.43 and 316.02 is: 473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.82 : 690.43 = 316.02 : x
  2. Step 2: Convert to fraction form
    460.82/690.43 = 316.02/x
  3. Step 3: Cross multiply
    460.82x = 690.43 × 316.02
  4. Step 4: Simplify right side
    460.82x = 218,189.69
  5. Step 5: Solve for x
    x = 218,189.69/460.82
  6. Step 6: Final answer
    x = 473.48

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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.