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Finding the Fourth Proportional to 478.40, 659.88 and 301.41

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Solution

The fourth proportional to 478.40, 659.88 and 301.41 is: 415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.40 : 659.88 = 301.41 : x
  2. Step 2: Convert to fraction form
    478.40/659.88 = 301.41/x
  3. Step 3: Cross multiply
    478.40x = 659.88 × 301.41
  4. Step 4: Simplify right side
    478.40x = 198,894.43
  5. Step 5: Solve for x
    x = 198,894.43/478.40
  6. Step 6: Final answer
    x = 415.75

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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.