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Finding the Fourth Proportional to 665.19, 917.53 and 429.43

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Solution

The fourth proportional to 665.19, 917.53 and 429.43 is: 592.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.19 : 917.53 = 429.43 : x
  2. Step 2: Convert to fraction form
    665.19/917.53 = 429.43/x
  3. Step 3: Cross multiply
    665.19x = 917.53 × 429.43
  4. Step 4: Simplify right side
    665.19x = 394,014.91
  5. Step 5: Solve for x
    x = 394,014.91/665.19
  6. Step 6: Final answer
    x = 592.33

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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.