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Finding the Fourth Proportional to 665.43, 918.71 and 429.50

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Solution

The fourth proportional to 665.43, 918.71 and 429.50 is: 592.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.43 : 918.71 = 429.50 : x
  2. Step 2: Convert to fraction form
    665.43/918.71 = 429.50/x
  3. Step 3: Cross multiply
    665.43x = 918.71 × 429.50
  4. Step 4: Simplify right side
    665.43x = 394,579.20
  5. Step 5: Solve for x
    x = 394,579.20/665.43
  6. Step 6: Final answer
    x = 592.97

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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.