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Finding the Fourth Proportional to 429.76, 646.04 and 407.44

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Solution

The fourth proportional to 429.76, 646.04 and 407.44 is: 612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.76 : 646.04 = 407.44 : x
  2. Step 2: Convert to fraction form
    429.76/646.04 = 407.44/x
  3. Step 3: Cross multiply
    429.76x = 646.04 × 407.44
  4. Step 4: Simplify right side
    429.76x = 263,222.54
  5. Step 5: Solve for x
    x = 263,222.54/429.76
  6. Step 6: Final answer
    x = 612.49

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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.