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Finding the Fourth Proportional to 669.06, 923.00 and 407.23

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Solution

The fourth proportional to 669.06, 923.00 and 407.23 is: 561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.06 : 923.00 = 407.23 : x
  2. Step 2: Convert to fraction form
    669.06/923.00 = 407.23/x
  3. Step 3: Cross multiply
    669.06x = 923.00 × 407.23
  4. Step 4: Simplify right side
    669.06x = 375,868.95
  5. Step 5: Solve for x
    x = 375,868.95/669.06
  6. Step 6: Final answer
    x = 561.79

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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.