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Finding the Fourth Proportional to 460.96, 690.73 and 314.55

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Solution

The fourth proportional to 460.96, 690.73 and 314.55 is: 471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.96 : 690.73 = 314.55 : x
  2. Step 2: Convert to fraction form
    460.96/690.73 = 314.55/x
  3. Step 3: Cross multiply
    460.96x = 690.73 × 314.55
  4. Step 4: Simplify right side
    460.96x = 217,268.34
  5. Step 5: Solve for x
    x = 217,268.34/460.96
  6. Step 6: Final answer
    x = 471.34

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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.