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Finding the Fourth Proportional to 478.20, 715.80 and 304.26

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Solution

The fourth proportional to 478.20, 715.80 and 304.26 is: 455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.20 : 715.80 = 304.26 : x
  2. Step 2: Convert to fraction form
    478.20/715.80 = 304.26/x
  3. Step 3: Cross multiply
    478.20x = 715.80 × 304.26
  4. Step 4: Simplify right side
    478.20x = 217,789.31
  5. Step 5: Solve for x
    x = 217,789.31/478.20
  6. Step 6: Final answer
    x = 455.44

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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.