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Finding the Fourth Proportional to 665.69, 918.23 and 429.93

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Solution

The fourth proportional to 665.69, 918.23 and 429.93 is: 593.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.69 : 918.23 = 429.93 : x
  2. Step 2: Convert to fraction form
    665.69/918.23 = 429.93/x
  3. Step 3: Cross multiply
    665.69x = 918.23 × 429.93
  4. Step 4: Simplify right side
    665.69x = 394,772.47
  5. Step 5: Solve for x
    x = 394,772.47/665.69
  6. Step 6: Final answer
    x = 593.03

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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.