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Finding the Fourth Proportional to 660.63, 911.78 and 424.92

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Solution

The fourth proportional to 660.63, 911.78 and 424.92 is: 586.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.63 : 911.78 = 424.92 : x
  2. Step 2: Convert to fraction form
    660.63/911.78 = 424.92/x
  3. Step 3: Cross multiply
    660.63x = 911.78 × 424.92
  4. Step 4: Simplify right side
    660.63x = 387,433.03
  5. Step 5: Solve for x
    x = 387,433.03/660.63
  6. Step 6: Final answer
    x = 586.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.