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Finding the Fourth Proportional to 442.84, 660.92 and 431.32

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Solution

The fourth proportional to 442.84, 660.92 and 431.32 is: 643.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.84 : 660.92 = 431.32 : x
  2. Step 2: Convert to fraction form
    442.84/660.92 = 431.32/x
  3. Step 3: Cross multiply
    442.84x = 660.92 × 431.32
  4. Step 4: Simplify right side
    442.84x = 285,068.01
  5. Step 5: Solve for x
    x = 285,068.01/442.84
  6. Step 6: Final answer
    x = 643.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.