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Finding the Fourth Proportional to 661.41, 992.43 and 314.91

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Solution

The fourth proportional to 661.41, 992.43 and 314.91 is: 472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.41 : 992.43 = 314.91 : x
  2. Step 2: Convert to fraction form
    661.41/992.43 = 314.91/x
  3. Step 3: Cross multiply
    661.41x = 992.43 × 314.91
  4. Step 4: Simplify right side
    661.41x = 312,526.13
  5. Step 5: Solve for x
    x = 312,526.13/661.41
  6. Step 6: Final answer
    x = 472.51

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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.