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Finding the Fourth Proportional to 550.74, 826.10 and 464.63

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Solution

The fourth proportional to 550.74, 826.10 and 464.63 is: 696.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.74 : 826.10 = 464.63 : x
  2. Step 2: Convert to fraction form
    550.74/826.10 = 464.63/x
  3. Step 3: Cross multiply
    550.74x = 826.10 × 464.63
  4. Step 4: Simplify right side
    550.74x = 383,826.71
  5. Step 5: Solve for x
    x = 383,826.71/550.74
  6. Step 6: Final answer
    x = 696.93

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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.