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Finding the Fourth Proportional to 665.34, 994.20 and 458.27

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Solution

The fourth proportional to 665.34, 994.20 and 458.27 is: 684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.34 : 994.20 = 458.27 : x
  2. Step 2: Convert to fraction form
    665.34/994.20 = 458.27/x
  3. Step 3: Cross multiply
    665.34x = 994.20 × 458.27
  4. Step 4: Simplify right side
    665.34x = 455,607.06
  5. Step 5: Solve for x
    x = 455,607.06/665.34
  6. Step 6: Final answer
    x = 684.77

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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.