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Finding the Fourth Proportional to 442.34, 660.17 and 430.82

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Solution

The fourth proportional to 442.34, 660.17 and 430.82 is: 642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.34 : 660.17 = 430.82 : x
  2. Step 2: Convert to fraction form
    442.34/660.17 = 430.82/x
  3. Step 3: Cross multiply
    442.34x = 660.17 × 430.82
  4. Step 4: Simplify right side
    442.34x = 284,412.29
  5. Step 5: Solve for x
    x = 284,412.29/442.34
  6. Step 6: Final answer
    x = 642.97

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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.