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Finding the Fourth Proportional to 669.51, 923.93 and 389.91

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Solution

The fourth proportional to 669.51, 923.93 and 389.91 is: 538.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.51 : 923.93 = 389.91 : x
  2. Step 2: Convert to fraction form
    669.51/923.93 = 389.91/x
  3. Step 3: Cross multiply
    669.51x = 923.93 × 389.91
  4. Step 4: Simplify right side
    669.51x = 360,242.98
  5. Step 5: Solve for x
    x = 360,242.98/669.51
  6. Step 6: Final answer
    x = 538.07

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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.