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Finding the Fourth Proportional to 423.04, 629.56 and 407.68

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Solution

The fourth proportional to 423.04, 629.56 and 407.68 is: 606.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.04 : 629.56 = 407.68 : x
  2. Step 2: Convert to fraction form
    423.04/629.56 = 407.68/x
  3. Step 3: Cross multiply
    423.04x = 629.56 × 407.68
  4. Step 4: Simplify right side
    423.04x = 256,659.02
  5. Step 5: Solve for x
    x = 256,659.02/423.04
  6. Step 6: Final answer
    x = 606.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.