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Finding the Fourth Proportional to 491.28, 677.88 and 304.71

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Solution

The fourth proportional to 491.28, 677.88 and 304.71 is: 420.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.28 : 677.88 = 304.71 : x
  2. Step 2: Convert to fraction form
    491.28/677.88 = 304.71/x
  3. Step 3: Cross multiply
    491.28x = 677.88 × 304.71
  4. Step 4: Simplify right side
    491.28x = 206,556.81
  5. Step 5: Solve for x
    x = 206,556.81/491.28
  6. Step 6: Final answer
    x = 420.45

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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.