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Finding the Fourth Proportional to 523.62, 784.29 and 477.78

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Solution

The fourth proportional to 523.62, 784.29 and 477.78 is: 715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.62 : 784.29 = 477.78 : x
  2. Step 2: Convert to fraction form
    523.62/784.29 = 477.78/x
  3. Step 3: Cross multiply
    523.62x = 784.29 × 477.78
  4. Step 4: Simplify right side
    523.62x = 374,718.08
  5. Step 5: Solve for x
    x = 374,718.08/523.62
  6. Step 6: Final answer
    x = 715.63

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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.