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Finding the Fourth Proportional to 491.24, 677.64 and 304.58

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Solution

The fourth proportional to 491.24, 677.64 and 304.58 is: 420.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.24 : 677.64 = 304.58 : x
  2. Step 2: Convert to fraction form
    491.24/677.64 = 304.58/x
  3. Step 3: Cross multiply
    491.24x = 677.64 × 304.58
  4. Step 4: Simplify right side
    491.24x = 206,395.59
  5. Step 5: Solve for x
    x = 206,395.59/491.24
  6. Step 6: Final answer
    x = 420.15

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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.