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Finding the Fourth Proportional to 478.95, 719.10 and 273.69

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Solution

The fourth proportional to 478.95, 719.10 and 273.69 is: 410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.95 : 719.10 = 273.69 : x
  2. Step 2: Convert to fraction form
    478.95/719.10 = 273.69/x
  3. Step 3: Cross multiply
    478.95x = 719.10 × 273.69
  4. Step 4: Simplify right side
    478.95x = 196,810.48
  5. Step 5: Solve for x
    x = 196,810.48/478.95
  6. Step 6: Final answer
    x = 410.92

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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.