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Finding the Fourth Proportional to 603.69, 832.64 and 367.35

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Solution

The fourth proportional to 603.69, 832.64 and 367.35 is: 506.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.69 : 832.64 = 367.35 : x
  2. Step 2: Convert to fraction form
    603.69/832.64 = 367.35/x
  3. Step 3: Cross multiply
    603.69x = 832.64 × 367.35
  4. Step 4: Simplify right side
    603.69x = 305,868.47
  5. Step 5: Solve for x
    x = 305,868.47/603.69
  6. Step 6: Final answer
    x = 506.66

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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.