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Finding the Fourth Proportional to 669, 923.39 and 407.24

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Solution

The fourth proportional to 669, 923.39 and 407.24 is: 562.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    669 : 923.39 = 407.24 : x
  2. Step 2: Convert to fraction form
    669/923.39 = 407.24/x
  3. Step 3: Cross multiply
    669x = 923.39 × 407.24
  4. Step 4: Simplify right side
    669x = 376,034.69
  5. Step 5: Solve for x
    x = 376,034.69/669
  6. Step 6: Final answer
    x = 562.08

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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.