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Finding the Fourth Proportional to 478.95, 718.40 and 204.86

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Solution

The fourth proportional to 478.95, 718.40 and 204.86 is: 307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.95 : 718.40 = 204.86 : x
  2. Step 2: Convert to fraction form
    478.95/718.40 = 204.86/x
  3. Step 3: Cross multiply
    478.95x = 718.40 × 204.86
  4. Step 4: Simplify right side
    478.95x = 147,173.73
  5. Step 5: Solve for x
    x = 147,173.73/478.95
  6. Step 6: Final answer
    x = 307.29

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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.