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Finding the Fourth Proportional to 432.02, 646.46 and 267.59

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Solution

The fourth proportional to 432.02, 646.46 and 267.59 is: 400.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.02 : 646.46 = 267.59 : x
  2. Step 2: Convert to fraction form
    432.02/646.46 = 267.59/x
  3. Step 3: Cross multiply
    432.02x = 646.46 × 267.59
  4. Step 4: Simplify right side
    432.02x = 172,986.23
  5. Step 5: Solve for x
    x = 172,986.23/432.02
  6. Step 6: Final answer
    x = 400.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.