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Finding the Fourth Proportional to 662.10, 992.34 and 314.88

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Solution

The fourth proportional to 662.10, 992.34 and 314.88 is: 471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.10 : 992.34 = 314.88 : x
  2. Step 2: Convert to fraction form
    662.10/992.34 = 314.88/x
  3. Step 3: Cross multiply
    662.10x = 992.34 × 314.88
  4. Step 4: Simplify right side
    662.10x = 312,468.02
  5. Step 5: Solve for x
    x = 312,468.02/662.10
  6. Step 6: Final answer
    x = 471.93

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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.