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Finding the Fourth Proportional to 661.46, 992.16 and 314.96

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Solution

The fourth proportional to 661.46, 992.16 and 314.96 is: 472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.46 : 992.16 = 314.96 : x
  2. Step 2: Convert to fraction form
    661.46/992.16 = 314.96/x
  3. Step 3: Cross multiply
    661.46x = 992.16 × 314.96
  4. Step 4: Simplify right side
    661.46x = 312,485.75
  5. Step 5: Solve for x
    x = 312,485.75/661.46
  6. Step 6: Final answer
    x = 472.42

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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.