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Finding the Fourth Proportional to 478.68, 716.28 and 293.72

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Solution

The fourth proportional to 478.68, 716.28 and 293.72 is: 439.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.68 : 716.28 = 293.72 : x
  2. Step 2: Convert to fraction form
    478.68/716.28 = 293.72/x
  3. Step 3: Cross multiply
    478.68x = 716.28 × 293.72
  4. Step 4: Simplify right side
    478.68x = 210,385.76
  5. Step 5: Solve for x
    x = 210,385.76/478.68
  6. Step 6: Final answer
    x = 439.51

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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.