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Finding the Fourth Proportional to 669.32, 923.69 and 407.35

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Solution

The fourth proportional to 669.32, 923.69 and 407.35 is: 562.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.32 : 923.69 = 407.35 : x
  2. Step 2: Convert to fraction form
    669.32/923.69 = 407.35/x
  3. Step 3: Cross multiply
    669.32x = 923.69 × 407.35
  4. Step 4: Simplify right side
    669.32x = 376,258.47
  5. Step 5: Solve for x
    x = 376,258.47/669.32
  6. Step 6: Final answer
    x = 562.15

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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.