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Finding the Fourth Proportional to 478.74, 716.34 and 293.76

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Solution

The fourth proportional to 478.74, 716.34 and 293.76 is: 439.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.74 : 716.34 = 293.76 : x
  2. Step 2: Convert to fraction form
    478.74/716.34 = 293.76/x
  3. Step 3: Cross multiply
    478.74x = 716.34 × 293.76
  4. Step 4: Simplify right side
    478.74x = 210,433.14
  5. Step 5: Solve for x
    x = 210,433.14/478.74
  6. Step 6: Final answer
    x = 439.55

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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.