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Finding the Fourth Proportional to 478.80, 661.08 and 301.80

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Solution

The fourth proportional to 478.80, 661.08 and 301.80 is: 416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.80 : 661.08 = 301.80 : x
  2. Step 2: Convert to fraction form
    478.80/661.08 = 301.80/x
  3. Step 3: Cross multiply
    478.80x = 661.08 × 301.80
  4. Step 4: Simplify right side
    478.80x = 199,513.94
  5. Step 5: Solve for x
    x = 199,513.94/478.80
  6. Step 6: Final answer
    x = 416.70

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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.