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Finding the Fourth Proportional to 660.93, 992.92 and 414.89

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Solution

The fourth proportional to 660.93, 992.92 and 414.89 is: 623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.93 : 992.92 = 414.89 : x
  2. Step 2: Convert to fraction form
    660.93/992.92 = 414.89/x
  3. Step 3: Cross multiply
    660.93x = 992.92 × 414.89
  4. Step 4: Simplify right side
    660.93x = 411,952.58
  5. Step 5: Solve for x
    x = 411,952.58/660.93
  6. Step 6: Final answer
    x = 623.29

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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.