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Finding the Fourth Proportional to 478.24, 716.80 and 204.24

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Solution

The fourth proportional to 478.24, 716.80 and 204.24 is: 306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.24 : 716.80 = 204.24 : x
  2. Step 2: Convert to fraction form
    478.24/716.80 = 204.24/x
  3. Step 3: Cross multiply
    478.24x = 716.80 × 204.24
  4. Step 4: Simplify right side
    478.24x = 146,399.23
  5. Step 5: Solve for x
    x = 146,399.23/478.24
  6. Step 6: Final answer
    x = 306.12

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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.