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Finding the Fourth Proportional to 523.14, 784.20 and 478.05

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Solution

The fourth proportional to 523.14, 784.20 and 478.05 is: 716.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.14 : 784.20 = 478.05 : x
  2. Step 2: Convert to fraction form
    523.14/784.20 = 478.05/x
  3. Step 3: Cross multiply
    523.14x = 784.20 × 478.05
  4. Step 4: Simplify right side
    523.14x = 374,886.81
  5. Step 5: Solve for x
    x = 374,886.81/523.14
  6. Step 6: Final answer
    x = 716.61

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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.