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Finding the Fourth Proportional to 555.41, 828.41 and 523.29

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Solution

The fourth proportional to 555.41, 828.41 and 523.29 is: 780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.41 : 828.41 = 523.29 : x
  2. Step 2: Convert to fraction form
    555.41/828.41 = 523.29/x
  3. Step 3: Cross multiply
    555.41x = 828.41 × 523.29
  4. Step 4: Simplify right side
    555.41x = 433,495.84
  5. Step 5: Solve for x
    x = 433,495.84/555.41
  6. Step 6: Final answer
    x = 780.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.