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Finding the Fourth Proportional to 478.41, 717.83 and 459.78

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Solution

The fourth proportional to 478.41, 717.83 and 459.78 is: 689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.41 : 717.83 = 459.78 : x
  2. Step 2: Convert to fraction form
    478.41/717.83 = 459.78/x
  3. Step 3: Cross multiply
    478.41x = 717.83 × 459.78
  4. Step 4: Simplify right side
    478.41x = 330,041.58
  5. Step 5: Solve for x
    x = 330,041.58/478.41
  6. Step 6: Final answer
    x = 689.87

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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.