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Finding the Fourth Proportional to 632.09, 947.49 and 339.41

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Solution

The fourth proportional to 632.09, 947.49 and 339.41 is: 508.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.09 : 947.49 = 339.41 : x
  2. Step 2: Convert to fraction form
    632.09/947.49 = 339.41/x
  3. Step 3: Cross multiply
    632.09x = 947.49 × 339.41
  4. Step 4: Simplify right side
    632.09x = 321,587.58
  5. Step 5: Solve for x
    x = 321,587.58/632.09
  6. Step 6: Final answer
    x = 508.77

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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.