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Finding the Fourth Proportional to 444.92, 668.64 and 434

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Solution

The fourth proportional to 444.92, 668.64 and 434 is: 652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.92 : 668.64 = 434 : x
  2. Step 2: Convert to fraction form
    444.92/668.64 = 434/x
  3. Step 3: Cross multiply
    444.92x = 668.64 × 434
  4. Step 4: Simplify right side
    444.92x = 290,189.76
  5. Step 5: Solve for x
    x = 290,189.76/444.92
  6. Step 6: Final answer
    x = 652.23

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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.