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Finding the Fourth Proportional to 661.65, 992.23 and 314.72

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Solution

The fourth proportional to 661.65, 992.23 and 314.72 is: 471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.65 : 992.23 = 314.72 : x
  2. Step 2: Convert to fraction form
    661.65/992.23 = 314.72/x
  3. Step 3: Cross multiply
    661.65x = 992.23 × 314.72
  4. Step 4: Simplify right side
    661.65x = 312,274.46
  5. Step 5: Solve for x
    x = 312,274.46/661.65
  6. Step 6: Final answer
    x = 471.96

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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.