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Finding the Fourth Proportional to 669.51, 923.72 and 407.43

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Solution

The fourth proportional to 669.51, 923.72 and 407.43 is: 562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.51 : 923.72 = 407.43 : x
  2. Step 2: Convert to fraction form
    669.51/923.72 = 407.43/x
  3. Step 3: Cross multiply
    669.51x = 923.72 × 407.43
  4. Step 4: Simplify right side
    669.51x = 376,349.20
  5. Step 5: Solve for x
    x = 376,349.20/669.51
  6. Step 6: Final answer
    x = 562.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.