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Finding the Fourth Proportional to 669.32, 923.76 and 407.29

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Solution

The fourth proportional to 669.32, 923.76 and 407.29 is: 562.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.32 : 923.76 = 407.29 : x
  2. Step 2: Convert to fraction form
    669.32/923.76 = 407.29/x
  3. Step 3: Cross multiply
    669.32x = 923.76 × 407.29
  4. Step 4: Simplify right side
    669.32x = 376,233.59
  5. Step 5: Solve for x
    x = 376,233.59/669.32
  6. Step 6: Final answer
    x = 562.11

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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.