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Finding the Fourth Proportional to 431.41, 646.77 and 366.49

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Solution

The fourth proportional to 431.41, 646.77 and 366.49 is: 549.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.41 : 646.77 = 366.49 : x
  2. Step 2: Convert to fraction form
    431.41/646.77 = 366.49/x
  3. Step 3: Cross multiply
    431.41x = 646.77 × 366.49
  4. Step 4: Simplify right side
    431.41x = 237,034.74
  5. Step 5: Solve for x
    x = 237,034.74/431.41
  6. Step 6: Final answer
    x = 549.44

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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.