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Finding the Fourth Proportional to 629, 867.46 and 407.74

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Solution

The fourth proportional to 629, 867.46 and 407.74 is: 562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    629 : 867.46 = 407.74 : x
  2. Step 2: Convert to fraction form
    629/867.46 = 407.74/x
  3. Step 3: Cross multiply
    629x = 867.46 × 407.74
  4. Step 4: Simplify right side
    629x = 353,698.14
  5. Step 5: Solve for x
    x = 353,698.14/629
  6. Step 6: Final answer
    x = 562.32

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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.