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Finding the Fourth Proportional to 491.06, 677.04 and 386.30

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Solution

The fourth proportional to 491.06, 677.04 and 386.30 is: 532.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.06 : 677.04 = 386.30 : x
  2. Step 2: Convert to fraction form
    491.06/677.04 = 386.30/x
  3. Step 3: Cross multiply
    491.06x = 677.04 × 386.30
  4. Step 4: Simplify right side
    491.06x = 261,540.55
  5. Step 5: Solve for x
    x = 261,540.55/491.06
  6. Step 6: Final answer
    x = 532.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.