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Finding the Fourth Proportional to 669.32, 923.71 and 407.36

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Solution

The fourth proportional to 669.32, 923.71 and 407.36 is: 562.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.32 : 923.71 = 407.36 : x
  2. Step 2: Convert to fraction form
    669.32/923.71 = 407.36/x
  3. Step 3: Cross multiply
    669.32x = 923.71 × 407.36
  4. Step 4: Simplify right side
    669.32x = 376,282.51
  5. Step 5: Solve for x
    x = 376,282.51/669.32
  6. Step 6: Final answer
    x = 562.19

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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.