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Finding the Fourth Proportional to 665.78, 917.94 and 429.34

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Solution

The fourth proportional to 665.78, 917.94 and 429.34 is: 591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.78 : 917.94 = 429.34 : x
  2. Step 2: Convert to fraction form
    665.78/917.94 = 429.34/x
  3. Step 3: Cross multiply
    665.78x = 917.94 × 429.34
  4. Step 4: Simplify right side
    665.78x = 394,108.36
  5. Step 5: Solve for x
    x = 394,108.36/665.78
  6. Step 6: Final answer
    x = 591.95

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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.