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Finding the Fourth Proportional to 430.44, 646.31 and 269.13

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Solution

The fourth proportional to 430.44, 646.31 and 269.13 is: 404.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.44 : 646.31 = 269.13 : x
  2. Step 2: Convert to fraction form
    430.44/646.31 = 269.13/x
  3. Step 3: Cross multiply
    430.44x = 646.31 × 269.13
  4. Step 4: Simplify right side
    430.44x = 173,941.41
  5. Step 5: Solve for x
    x = 173,941.41/430.44
  6. Step 6: Final answer
    x = 404.10

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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.